116:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 6. Función cuadrática :@0.073089:0.098522:0.482493:0.098522:0.482493:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función cuadrática definida :@0.303147:0.254383:0.550706:0.254383:0.550706:0.237949:0.303147:0.237949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.597065:0.254993:0.610355:0.254993:0.610355:0.238199:0.597065:0.238199:0.000000
:@0.635039:0.254993:0.648329:0.254993:0.648329:0.238199:0.635039:0.238199:0.000000
=:@0.583628:0.254799:0.593734:0.254799:0.593734:0.239184:0.583628:0.239184:0.000000
→:@0.613963:0.254799:0.632131:0.254799:0.632131:0.239184:0.613963:0.239184:0.000000
fx:@0.552041:0.254120:0.573872:0.254120:0.573872:0.237713:0.552041:0.237713:0.000000:0.000000
():@0.559257:0.254120:0.580812:0.254120:0.580812:0.237686:0.559257:0.237686:0.000000:0.000000
 es de la forma  ( ) = :@0.650813:0.254383:0.813893:0.254383:0.813893:0.237949:0.650813:0.237949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.770636:0.254383:0.787994:0.254383:0.787994:0.237977:0.770636:0.237977:0.000000:0.000000:0.000000
ax :@0.815365:0.254383:0.835687:0.254383:0.835687:0.237977:0.815365:0.237977:0.000000:0.000000:0.000000
2 + b  +  , :@0.836902:0.254383:0.919661:0.254383:0.919661:0.237949:0.836902:0.237949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.874857:0.254383:0.882312:0.254383:0.882312:0.237977:0.874857:0.237977:0.000000
c:@0.904622:0.254383:0.912279:0.254383:0.912279:0.237977:0.904622:0.237977:0.000000
con  ,   y   números reales y   ≠ 0. Su gráfica es una parábola. :@0.303165:0.271025:0.755129:0.271025:0.755129:0.254591:0.303165:0.254591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.334733:0.271025:0.383752:0.271025:0.383752:0.254619:0.334733:0.254619:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.514186:0.271025:0.523445:0.271025:0.523445:0.254619:0.514186:0.254619:0.000000
El lienzo cuadrado de una pintura aumenta dos de sus lados paralelos en 7 :@0.293630:0.304156:0.822286:0.304156:0.822286:0.287722:0.293630:0.287722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.821753:0.304156:0.843823:0.304156:0.843823:0.287750:0.821753:0.287750:0.000000:0.000000
, con lo cual :@0.843639:0.304156:0.930908:0.304156:0.930908:0.287722:0.843639:0.287722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se obtiene un rectángulo. ¿Cuál es el área del rectángulo en función del lado  ?:@0.293648:0.320798:0.857978:0.320798:0.857978:0.304364:0.293648:0.304364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.843676:0.320798:0.851130:0.320798:0.851130:0.304392:0.843676:0.304392:0.000000
El área del rectángulo es         = (  + 7)   ;   =  ² + 7:@0.293648:0.348160:0.665162:0.348160:0.665162:0.331726:0.293648:0.331726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.497306:0.348160:0.507191:0.348160:0.507191:0.331754:0.497306:0.331754:0.000000
x:@0.530697:0.348160:0.538152:0.348160:0.538152:0.331754:0.530697:0.331754:0.000000
x A:@0.574525:0.348160:0.602817:0.348160:0.602817:0.331754:0.574525:0.331754:0.000000:0.000000:0.000000
x :@0.621537:0.348160:0.632231:0.348160:0.632231:0.331754:0.621537:0.331754:0.000000:0.000000
x.:@0.665052:0.348160:0.675765:0.348160:0.675765:0.331754:0.665052:0.331754:0.000000:0.000000
Con base en esta función, calculamos lo siguiente::@0.293630:0.375522:0.657582:0.375522:0.657582:0.359088:0.293630:0.359088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área del rectángulo cuando   = 0, 1, 2, 3, 4 y 5 :@0.293630:0.402884:0.641435:0.402884:0.641435:0.386450:0.293630:0.386450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.513468:0.402884:0.520923:0.402884:0.520923:0.386478:0.513468:0.386478:0.000000
cm:@0.641214:0.402884:0.663413:0.402884:0.663413:0.386478:0.641214:0.386478:0.000000:0.000000
.:@0.663358:0.402884:0.666561:0.402884:0.666561:0.386450:0.663358:0.386450:0.000000
Elaboramos una tabla. :@0.293630:0.444072:0.458091:0.444072:0.458091:0.427638:0.293630:0.427638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x (cm):@0.482970:0.433911:0.523332:0.433911:0.523332:0.418744:0.482970:0.418744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.560433:0.433911:0.568599:0.433911:0.568599:0.418971:0.560433:0.418971:0.000000
1:@0.604159:0.433911:0.612325:0.433911:0.612325:0.418971:0.604159:0.418971:0.000000
2:@0.647884:0.433911:0.656050:0.433911:0.656050:0.418971:0.647884:0.418971:0.000000
3:@0.691610:0.433911:0.699776:0.433911:0.699776:0.418971:0.691610:0.418971:0.000000
4:@0.735335:0.433911:0.743502:0.433911:0.743502:0.418971:0.735335:0.418971:0.000000
5:@0.779061:0.433911:0.787227:0.433911:0.787227:0.418971:0.779061:0.418971:0.000000
A (cm ):@0.479508:0.458952:0.526795:0.458952:0.526795:0.443785:0.479508:0.443785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.517241:0.453439:0.522041:0.453439:0.522041:0.444597:0.517241:0.444597:0.000000
0:@0.560430:0.458952:0.568596:0.458952:0.568596:0.444012:0.560430:0.444012:0.000000
8:@0.604155:0.458952:0.612321:0.458952:0.612321:0.444012:0.604155:0.444012:0.000000
18:@0.643798:0.458952:0.660130:0.458952:0.660130:0.444012:0.643798:0.444012:0.000000:0.000000
30:@0.687607:0.458952:0.703772:0.458952:0.703772:0.444012:0.687607:0.444012:0.000000:0.000000
44:@0.731249:0.458952:0.747581:0.458952:0.747581:0.444012:0.731249:0.444012:0.000000:0.000000
60:@0.774975:0.458952:0.791307:0.458952:0.791307:0.444012:0.774975:0.444012:0.000000:0.000000
Graficamos los puntos antes encontrados y respondemos.:@0.293660:0.485734:0.713776:0.485734:0.713776:0.469300:0.293660:0.469300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Para qué valor de   el área es 30 :@0.293660:0.513095:0.533483:0.513095:0.533483:0.496662:0.293660:0.496662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.429524:0.513095:0.436979:0.513095:0.436979:0.496689:0.429524:0.496689:0.000000
cm:@0.533304:0.513095:0.555503:0.513095:0.555503:0.496689:0.533304:0.496689:0.000000:0.000000
2?                Para   = 3 :@0.555448:0.513095:0.704381:0.513095:0.704381:0.496662:0.555448:0.496662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.665247:0.513095:0.672702:0.513095:0.672702:0.496689:0.665247:0.496689:0.000000
cm.:@0.704271:0.513095:0.729728:0.513095:0.729728:0.496689:0.704271:0.496689:0.000000:0.000000:0.000000
¿Para qué valor de   el área es de 120 :@0.293660:0.540457:0.565143:0.540457:0.565143:0.524024:0.293660:0.524024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.429524:0.540457:0.436979:0.540457:0.436979:0.524051:0.429524:0.524051:0.000000
cm:@0.564946:0.540457:0.587145:0.540457:0.587145:0.524051:0.564946:0.524051:0.000000:0.000000
2?        Para   = 8 :@0.587090:0.540457:0.704418:0.540457:0.704418:0.524024:0.587090:0.524024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.665284:0.540457:0.672739:0.540457:0.672739:0.524051:0.665284:0.524051:0.000000
cm.:@0.704308:0.540457:0.729765:0.540457:0.729765:0.524051:0.704308:0.524051:0.000000:0.000000:0.000000
La ecuación que representa el área del rectángulo en función de  es una función :@0.293679:0.567819:0.930864:0.567819:0.930864:0.551386:0.293679:0.551386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.794632:0.567819:0.806854:0.567819:0.806854:0.551413:0.794632:0.551413:0.000000:0.000000
cuadrática. A( ) =   + 7 en donde:   = 1,   = 7 y   = 0.:@0.293679:0.584461:0.689910:0.584465:0.689910:0.568031:0.293679:0.568027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391679:0.584461:0.399134:0.584461:0.399134:0.568055:0.391679:0.568055:0.000000
x:@0.422640:0.584461:0.430095:0.584461:0.430095:0.568055:0.422640:0.568055:0.000000
2:@0.430018:0.578401:0.435255:0.578401:0.435255:0.568820:0.430018:0.568820:0.000000
x; :@0.462893:0.584465:0.476846:0.584465:0.476846:0.568059:0.462893:0.568059:0.000000:0.000000:0.000000
a:@0.554653:0.584465:0.563912:0.584465:0.563912:0.568059:0.554653:0.568059:0.000000
b:@0.598610:0.584465:0.607869:0.584465:0.607869:0.568059:0.598610:0.568059:0.000000
c:@0.651402:0.584465:0.659059:0.584465:0.659059:0.568059:0.651402:0.568059:0.000000
Representación gráfica de la función cuadrática y características:@0.293620:0.611827:0.794549:0.611827:0.794549:0.594880:0.293620:0.594880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica:@0.176593:0.641956:0.229404:0.641956:0.229404:0.626336:0.176593:0.626336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Características:@0.575386:0.641956:0.683434:0.641956:0.683434:0.626336:0.575386:0.626336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Concavidad: esta orientación depende del signo del término cuadrático :@0.339810:0.667494:0.809359:0.667494:0.809359:0.652554:0.339810:0.652554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.809195:0.667494:0.827067:0.667494:0.827067:0.652579:0.809195:0.652579:0.000000:0.000000:0.000000
2. :@0.826900:0.667494:0.838095:0.667494:0.838095:0.652554:0.826900:0.652554:0.000000:0.000000:0.000000
• :@0.339810:0.684451:0.348830:0.684451:0.348830:0.667781:0.339810:0.667781:0.000000:0.000000
Si   > 0 (positivo), la parábola es cóncava hacia arriba y tiene un mínimo :@0.370010:0.684451:0.923001:0.684451:0.923001:0.667781:0.370010:0.667781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.387552:0.684451:0.396811:0.684451:0.396811:0.668045:0.387552:0.668045:0.000000
 :@0.919006:0.684451:0.922909:0.684451:0.922909:0.667781:0.919006:0.667781:0.000000
que es el vértice.:@0.369936:0.701093:0.495877:0.701093:0.495877:0.684423:0.369936:0.684423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.339810:0.717735:0.348830:0.717735:0.348830:0.701065:0.339810:0.701065:0.000000:0.000000
Si   < 0 (negativo), la parábola es cóncava hacia abajo y tiene un máximo :@0.370010:0.717735:0.923097:0.717735:0.923097:0.701065:0.370010:0.701065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.387092:0.717735:0.396351:0.717735:0.396351:0.701328:0.387092:0.701328:0.000000
que es el vértice.:@0.369936:0.734376:0.495879:0.734376:0.495879:0.717707:0.369936:0.717707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cortes de la parábola con los ejes coordenados: son los puntos donde la función es :@0.339810:0.757409:0.896857:0.757409:0.896857:0.742469:0.339810:0.742469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cero. Para hallar el corte con el eje  , se tiene  ( ) = 0 y se resuelve la ecuación:  :@0.339810:0.772538:0.860431:0.772538:0.860431:0.757598:0.339810:0.757598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.568594:0.772538:0.575371:0.772538:0.575371:0.757623:0.568594:0.757623:0.000000
f x:@0.637504:0.772538:0.652983:0.772538:0.652983:0.757623:0.637504:0.757623:0.000000:0.000000:0.000000
ax :@0.339810:0.787667:0.358017:0.787667:0.358017:0.772752:0.339810:0.772752:0.000000:0.000000:0.000000
2 +   +  = 0.:@0.358017:0.787667:0.447141:0.787667:0.447141:0.772727:0.358017:0.772727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.380106:0.787667:0.395149:0.787667:0.395149:0.772752:0.380106:0.772752:0.000000:0.000000
c :@0.412452:0.787667:0.422426:0.787667:0.422426:0.772752:0.412452:0.772752:0.000000:0.000000
El corte con el eje y es (0,  ), cuando  = 0.:@0.339810:0.806364:0.616455:0.806364:0.616455:0.791424:0.339810:0.791424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.509391:0.806364:0.516353:0.806364:0.516353:0.791449:0.509391:0.791449:0.000000
 x:@0.578285:0.806364:0.588074:0.806364:0.588074:0.791449:0.578285:0.791449:0.000000:0.000000
Eje de simetría: es la recta que divide simétricamente a la  :@0.339810:0.839357:0.725084:0.839357:0.725084:0.824418:0.339810:0.824418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola;  está dado por la ecuación::@0.339810:0.854486:0.583221:0.854486:0.583221:0.839546:0.339810:0.839546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice ( ): es el punto de corte del eje de simetría con  :@0.339810:0.883483:0.708570:0.883483:0.708570:0.868544:0.339810:0.868544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.393727:0.883483:0.402010:0.883483:0.402010:0.868569:0.393727:0.868569:0.000000
la parábola; tiene como coordenadas: :@0.339810:0.898612:0.593342:0.898612:0.593342:0.883673:0.339810:0.883673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función  ( ) = :@0.339810:0.917309:0.450522:0.917309:0.450522:0.902369:0.339810:0.902369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.413306:0.917309:0.428784:0.917309:0.428784:0.902395:0.413306:0.902395:0.000000:0.000000:0.000000
ax :@0.450522:0.917309:0.468728:0.917309:0.468728:0.902395:0.450522:0.902395:0.000000:0.000000:0.000000
2 tiene: Dominio: :@0.468728:0.917309:0.582600:0.917309:0.582600:0.902369:0.468728:0.902369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.582600:0.917839:0.594682:0.917839:0.594682:0.901789:0.582600:0.901789:0.000000
Recorrido: :@0.339810:0.936006:0.411011:0.936006:0.411011:0.921066:0.339810:0.921066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.658905:0.935713:0.661526:0.935713:0.661526:0.922267:0.658905:0.922267:0.000000
f(x):@0.171585:0.669244:0.188020:0.669244:0.188020:0.656935:0.171585:0.656935:0.000000:0.000000:0.000000:0.000000
0:@0.188108:0.800382:0.194099:0.800382:0.194099:0.789421:0.188108:0.789421:0.000000
x:@0.304457:0.796046:0.310050:0.796046:0.310050:0.783736:0.304457:0.783736:0.000000
x:@0.109612:0.714613:0.114583:0.714613:0.114583:0.703671:0.109612:0.703671:0.000000
 < 0 :@0.114583:0.714613:0.135957:0.714613:0.135957:0.703653:0.114583:0.703653:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.107169:0.723862:0.138400:0.723862:0.138400:0.712902:0.107169:0.712902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.092547:0.733112:0.150345:0.733112:0.150345:0.722151:0.092547:0.722151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.109612:0.822858:0.114583:0.822858:0.114583:0.811916:0.109612:0.811916:0.000000
 < 0 :@0.114583:0.822858:0.135957:0.822858:0.135957:0.811898:0.114583:0.811898:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.107169:0.832107:0.138400:0.832107:0.138400:0.821147:0.107169:0.821147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.098857:0.841357:0.144023:0.841357:0.144023:0.830396:0.098857:0.830396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.266826:0.714613:0.273001:0.714613:0.273001:0.703671:0.266826:0.703671:0.000000
 > 0 :@0.273001:0.714613:0.294375:0.714613:0.294375:0.703653:0.273001:0.703653:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.258183:0.723862:0.303005:0.723862:0.303005:0.712902:0.258183:0.712902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.251075:0.733112:0.307436:0.733112:0.307436:0.722151:0.251075:0.722151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.266826:0.822858:0.273001:0.822858:0.273001:0.811916:0.266826:0.811916:0.000000
 < 0 :@0.273001:0.822858:0.294375:0.822858:0.294375:0.811898:0.273001:0.811898:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.258183:0.832107:0.303005:0.832107:0.303005:0.821147:0.258183:0.821147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.251480:0.841357:0.307020:0.841357:0.307020:0.830396:0.251480:0.830396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.269343:0.676080:0.283952:0.676080:0.283952:0.665138:0.269343:0.665138:0.000000:0.000000:0.000000:0.000000
 = :@0.283952:0.676080:0.296646:0.676080:0.296646:0.665120:0.283952:0.665120:0.000000:0.000000:0.000000
ax:@0.296646:0.676080:0.307793:0.676080:0.307793:0.665138:0.296646:0.665138:0.000000:0.000000
2:@0.307795:0.672034:0.311288:0.672034:0.311288:0.665644:0.307795:0.665644:0.000000
f(x):@0.268375:0.917626:0.282984:0.917626:0.282984:0.906684:0.268375:0.906684:0.000000:0.000000:0.000000:0.000000
 = –:@0.282984:0.917626:0.301596:0.917626:0.301596:0.906666:0.282984:0.906666:0.000000:0.000000:0.000000:0.000000
ax:@0.301584:0.917626:0.312731:0.917626:0.312731:0.906684:0.301584:0.906684:0.000000:0.000000
2:@0.312733:0.913582:0.316226:0.913582:0.316226:0.907192:0.312733:0.907192:0.000000
x:@0.267423:0.763045:0.272395:0.763045:0.272395:0.752103:0.267423:0.752103:0.000000
 > 0 :@0.272395:0.763045:0.293769:0.763045:0.293769:0.752084:0.272395:0.752084:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.264980:0.772294:0.296212:0.772294:0.296212:0.761334:0.264980:0.761334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.256669:0.781543:0.301834:0.781543:0.301834:0.770583:0.256669:0.770583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.273488:0.867821:0.278460:0.867821:0.278460:0.856879:0.273488:0.856879:0.000000
 > 0 :@0.278460:0.867821:0.299833:0.867821:0.299833:0.856861:0.278460:0.856861:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.271045:0.877070:0.302276:0.877070:0.302276:0.866110:0.271045:0.866110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.256423:0.886320:0.314222:0.886320:0.314222:0.875359:0.256423:0.875359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Eje de simetría:@0.213952:0.732463:0.213952:0.672195:0.197586:0.672195:0.197586:0.732463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice:@0.101726:0.773624:0.139016:0.773624:0.139016:0.761293:0.101726:0.761293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.170280:0.801394:0.180893:0.801394:0.180893:0.791803:0.170280:0.791803:0.000000:0.000000
1:@0.216465:0.801394:0.221707:0.801394:0.221707:0.791803:0.216465:0.791803:0.000000
2:@0.238218:0.801394:0.243460:0.801394:0.243460:0.791803:0.238218:0.791803:0.000000
3:@0.259971:0.801394:0.265213:0.801394:0.265213:0.791803:0.259971:0.791803:0.000000
4:@0.281724:0.801394:0.286966:0.801394:0.286966:0.791803:0.281724:0.791803:0.000000
–2:@0.148543:0.801394:0.159156:0.801394:0.159156:0.791803:0.148543:0.791803:0.000000:0.000000
–3:@0.126790:0.801394:0.137403:0.801394:0.137403:0.791803:0.126790:0.791803:0.000000:0.000000
–4:@0.105037:0.801394:0.115650:0.801394:0.115650:0.791803:0.105037:0.791803:0.000000:0.000000
1:@0.186978:0.778385:0.192220:0.778385:0.192220:0.768794:0.186978:0.768794:0.000000
–1:@0.181607:0.811154:0.192220:0.811154:0.192220:0.801564:0.181607:0.801564:0.000000:0.000000
–2:@0.181607:0.827543:0.192220:0.827543:0.192220:0.817952:0.181607:0.817952:0.000000:0.000000
–3:@0.181607:0.843932:0.192220:0.843932:0.192220:0.834341:0.181607:0.834341:0.000000:0.000000
–4:@0.181607:0.860320:0.192220:0.860320:0.192220:0.850730:0.181607:0.850730:0.000000:0.000000
–5:@0.181607:0.876709:0.192220:0.876709:0.192220:0.867119:0.181607:0.867119:0.000000:0.000000
–6:@0.181607:0.893098:0.192220:0.893098:0.192220:0.883508:0.181607:0.883508:0.000000:0.000000
–7:@0.181607:0.909487:0.192220:0.909487:0.192220:0.899896:0.181607:0.899896:0.000000:0.000000
2:@0.186978:0.762004:0.192220:0.762004:0.192220:0.752413:0.186978:0.752413:0.000000
3:@0.186978:0.745615:0.192220:0.745615:0.192220:0.736025:0.186978:0.736025:0.000000
4:@0.186978:0.729226:0.192220:0.729226:0.192220:0.719636:0.186978:0.719636:0.000000
5:@0.186978:0.712838:0.192220:0.712838:0.192220:0.703247:0.186978:0.703247:0.000000
6:@0.186978:0.696449:0.192220:0.696449:0.192220:0.686858:0.186978:0.686858:0.000000
7:@0.186978:0.680060:0.192220:0.680060:0.192220:0.670469:0.186978:0.670469:0.000000
Infiere.:@0.293660:0.175535:0.348690:0.175535:0.348690:0.158588:0.293660:0.158588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿Cómo determinas el área del piso de una piscina cuadrangular?:@0.348606:0.175535:0.819195:0.175535:0.819195:0.159101:0.348606:0.159101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.246851:0.230966:0.246851:0.230966:0.231445:0.078581:0.231445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078581:0.261980:0.164074:0.261980:0.164074:0.247040:0.078581:0.247040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y deporte:@0.078581:0.277109:0.142978:0.277109:0.142978:0.262169:0.078581:0.262169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los preparadores físicos :@0.080953:0.317012:0.225500:0.317012:0.225500:0.303566:0.080953:0.303566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buscan poder cuantificar la :@0.080953:0.330628:0.244946:0.330628:0.244946:0.317182:0.080953:0.317182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carga total del entrenamiento :@0.080953:0.344244:0.261234:0.344244:0.261234:0.330798:0.080953:0.330798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(se refiere a la suma de :@0.080953:0.357860:0.218971:0.357860:0.218971:0.344414:0.080953:0.344414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estímulos a los que el jugador :@0.080953:0.371476:0.261392:0.371476:0.261392:0.358030:0.080953:0.358030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se ve sometido durante :@0.080953:0.385092:0.224482:0.385092:0.224482:0.371646:0.080953:0.371646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la realización de cualquier :@0.080953:0.398708:0.237517:0.398708:0.237517:0.385262:0.080953:0.385262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deporte, tanto técnico-:@0.080953:0.412324:0.218556:0.412324:0.218556:0.398878:0.080953:0.398878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tácticos como físicos). Por :@0.080953:0.425940:0.236606:0.425940:0.236606:0.412494:0.080953:0.412494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta razón, la importancia de :@0.080953:0.439556:0.254528:0.439556:0.254528:0.426110:0.080953:0.426110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matemática, ya que apoya :@0.080953:0.453172:0.253567:0.453172:0.253567:0.439726:0.080953:0.439726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la labor de los entrenadores :@0.080953:0.466788:0.248880:0.466788:0.248880:0.453342:0.080953:0.453342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en todos los ámbitos :@0.080953:0.480404:0.208412:0.480404:0.208412:0.466959:0.080953:0.466959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deportivos, por ejemplo, en :@0.080953:0.494020:0.247981:0.494020:0.247981:0.480575:0.080953:0.480575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el registro del rendimiento de :@0.080953:0.507636:0.260142:0.507636:0.260142:0.494191:0.080953:0.494191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los jugadores, la planificación :@0.080953:0.521253:0.257449:0.521253:0.257449:0.507807:0.080953:0.507807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estrategias y jugadas e, :@0.080953:0.534869:0.239055:0.534869:0.239055:0.521423:0.080953:0.521423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incluso, para tomar acciones :@0.080953:0.548485:0.252660:0.548485:0.252660:0.535039:0.080953:0.535039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con relación al adversario.:@0.080953:0.562101:0.233643:0.562101:0.233643:0.548655:0.080953:0.548655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fuente: http://viref.udea.edu.:@0.080953:0.577463:0.233152:0.577463:0.233152:0.565511:0.080953:0.565511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
co/contenido/publicaciones/:@0.080953:0.589566:0.236063:0.589566:0.236063:0.577614:0.080953:0.577614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
libros_expo2011/planificacion_:@0.080953:0.601669:0.247002:0.601669:0.247002:0.589717:0.080953:0.589717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entrenamiento_deportivo.pdf:@0.080953:0.613772:0.239057:0.613772:0.239057:0.601820:0.080953:0.601820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.731159:0.847025:0.740574:0.847025:0.740574:0.831076:0.731159:0.831076:0.000000
b:@0.772388:0.837824:0.781955:0.837824:0.781955:0.821875:0.772388:0.821875:0.000000
2:@0.767690:0.857857:0.776971:0.857857:0.776971:0.841621:0.767690:0.841621:0.000000
a:@0.777143:0.857857:0.786710:0.857857:0.786710:0.841908:0.777143:0.841908:0.000000
,:@0.789839:0.847025:0.793149:0.847025:0.793149:0.830789:0.789839:0.830789:0.000000
f:@0.794328:0.847025:0.799178:0.847025:0.799178:0.831076:0.794328:0.831076:0.000000
b:@0.831609:0.837824:0.841176:0.837824:0.841176:0.821875:0.831609:0.821875:0.000000
2:@0.826911:0.857857:0.836193:0.857857:0.836193:0.841621:0.826911:0.841621:0.000000
a:@0.836364:0.857857:0.845931:0.857857:0.845931:0.841908:0.836364:0.841908:0.000000
DBA 2 (Ev. 3) Determina y describe relaciones al comparar características de gráficas y expresiones algebraicas o funciones.:@0.116797:0.965315:0.759724:0.965315:0.759724:0.953363:0.116797:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. Reconoce una función lineal, construye su gráfica en el plano cartesiano y halla sus principales atributos (pendiente, intersecciones con los ejes, etc.).:@0.116797:0.977418:0.916361:0.977418:0.916361:0.965466:0.116797:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000