:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Función cuadrática:@0.287495:0.372370:0.479506:0.372370:0.479506:0.350860:0.287495:0.350860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función cuadrática denida  ( ): :@0.287495:0.395151:0.555155:0.395151:0.555155:0.378762:0.287495:0.378762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.485370:0.395151:0.489405:0.395151:0.489405:0.378762:0.485370:0.378762:0.000000
f x:@0.525984:0.395151:0.543030:0.395151:0.543030:0.378790:0.525984:0.378790:0.000000:0.000000:0.000000
:@0.555155:0.395732:0.568460:0.395732:0.568460:0.378126:0.555155:0.378126:0.000000
→ :@0.572497:0.394736:0.595292:0.394736:0.595292:0.377794:0.572497:0.377794:0.000000:0.000000
:@0.595292:0.395732:0.608597:0.395732:0.608597:0.378126:0.595292:0.378126:0.000000
 es una función de la forma :@0.608597:0.395151:0.811539:0.395151:0.811539:0.378762:0.608597:0.378762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.287495:0.418870:0.304541:0.418870:0.304541:0.402509:0.287495:0.402509:0.000000:0.000000:0.000000
( ) = :@0.292194:0.418870:0.328478:0.418870:0.328478:0.402481:0.292194:0.402481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.328478:0.418870:0.345211:0.418870:0.345211:0.402509:0.328478:0.402509:0.000000:0.000000
2:@0.345209:0.412828:0.350452:0.412828:0.350452:0.403273:0.345209:0.403273:0.000000
 +   +  , con  ,   y   números reales y   ≠ 0. Su gráca es una parábola.:@0.350453:0.418875:0.873556:0.418875:0.873556:0.402486:0.350453:0.402486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.369507:0.418875:0.386073:0.418875:0.386073:0.402514:0.369507:0.402514:0.000000:0.000000
c:@0.405127:0.418875:0.412793:0.418875:0.412793:0.402514:0.405127:0.402514:0.000000
a b c:@0.451970:0.418875:0.501596:0.418875:0.501596:0.402514:0.451970:0.402514:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.633702:0.418875:0.642971:0.418875:0.642971:0.402514:0.633702:0.402514:0.000000
 :@0.728770:0.418875:0.732806:0.418875:0.732806:0.402486:0.728770:0.402486:0.000000
Representación gráfica y características:@0.287495:0.451551:0.628436:0.451551:0.628436:0.433114:0.287495:0.433114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio::@0.287495:0.474961:0.358110:0.474961:0.358110:0.458337:0.287495:0.458337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el conjunto de los números reales.:@0.358110:0.474961:0.632310:0.474961:0.632310:0.458572:0.358110:0.458572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido (rango)::@0.287495:0.498680:0.425590:0.498680:0.425590:0.482055:0.287495:0.482055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se determina a partir de su ecuación o representación gráca. :@0.425590:0.498680:0.884709:0.498680:0.884709:0.482291:0.425590:0.482291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.856423:0.498680:0.860459:0.498680:0.860459:0.482291:0.856423:0.482291:0.000000
Monotonía: :@0.287495:0.522399:0.380131:0.522399:0.380131:0.505774:0.287495:0.505774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crece o decrece según la posición relativa al vértice, como se muestra :@0.381292:0.522399:0.907620:0.522399:0.907620:0.506010:0.381292:0.506010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la gráca.:@0.287495:0.538995:0.379042:0.538995:0.379042:0.522606:0.287495:0.522606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.354791:0.538995:0.358827:0.538995:0.358827:0.522606:0.354791:0.522606:0.000000
nidad de conocimientos:@0.306727:0.341242:0.480398:0.341242:0.480398:0.325877:0.306727:0.325877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.342027:0.297460:0.342027:0.297460:0.324892:0.284892:0.324892:0.000000
Pienso y progreso:@0.294883:0.283735:0.417347:0.283735:0.417347:0.268371:0.294883:0.268371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué situaciones has visto parábolas y por qué crees que es importante analizarlas?:@0.294883:0.302387:0.867571:0.302387:0.867571:0.287488:0.294883:0.287488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un parque, un niño lanza una pelota hacia arriba siguiendo un movimiento pa-:@0.287495:0.168345:0.903695:0.168345:0.903695:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rabólico. La altura h de la pelota en metros, respecto de la distancia horizontal :@0.287495:0.184941:0.893687:0.184941:0.893687:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.896249:0.184941:0.903712:0.184941:0.903712:0.168580:0.896249:0.168580:0.000000
(en metros) recorrida, se modela mediante la siguiente función::@0.287495:0.201538:0.750740:0.201538:0.750740:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h x:@0.287495:0.225257:0.309351:0.225257:0.309351:0.208896:0.287495:0.208896:0.000000:0.000000:0.000000
( ) = −  + 4  + 1:@0.297004:0.225257:0.420533:0.225262:0.420533:0.208873:0.297004:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.344271:0.225257:0.351734:0.225257:0.351734:0.208896:0.344271:0.208896:0.000000
2:@0.351732:0.219214:0.356975:0.219214:0.356975:0.209660:0.351732:0.209660:0.000000
x:@0.385023:0.225262:0.392486:0.225262:0.392486:0.208901:0.385023:0.208901:0.000000
¿En qué punto la pelota alcanza su mayor altura y qué tan alto llega?:@0.287504:0.248981:0.788417:0.248981:0.788417:0.232592:0.287504:0.232592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son las :@0.145041:0.192000:0.247834:0.192000:0.247834:0.177101:0.145041:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
características :@0.150871:0.207088:0.247832:0.207088:0.247832:0.192189:0.150871:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una función?:@0.136598:0.222175:0.244165:0.222175:0.244165:0.207276:0.136598:0.207276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Monotonía de la función cuadrática:@0.286308:0.075160:0.809063:0.075160:0.809063:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Gráca:@0.205884:0.563549:0.256812:0.563549:0.256812:0.548184:0.205884:0.548184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.236097:0.563549:0.239565:0.563549:0.239565:0.548184:0.236097:0.548184:0.000000
Características:@0.594037:0.563549:0.699192:0.563549:0.699192:0.548184:0.594037:0.548184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.216134:0.607713:0.221575:0.607713:0.221575:0.595814:0.216134:0.595814:0.000000
0:@0.214366:0.751709:0.220906:0.751709:0.220906:0.739790:0.214366:0.739790:0.000000
x:@0.351615:0.753439:0.357043:0.753439:0.357043:0.741540:0.351615:0.741540:0.000000
x:@0.129264:0.658437:0.134692:0.658437:0.134692:0.646538:0.129264:0.646538:0.000000
 < 0:@0.134692:0.658437:0.155090:0.658437:0.155090:0.646518:0.134692:0.646518:0.000000:0.000000:0.000000:0.000000
Curva:@0.126597:0.668496:0.157756:0.668496:0.157756:0.656576:0.126597:0.656576:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.110635:0.678554:0.173730:0.678554:0.173730:0.666635:0.110635:0.666635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129264:0.776151:0.134692:0.776151:0.134692:0.764252:0.129264:0.764252:0.000000
 < 0:@0.134692:0.776151:0.155090:0.776151:0.155090:0.764232:0.134692:0.764232:0.000000:0.000000:0.000000:0.000000
Curva:@0.126597:0.786209:0.157756:0.786209:0.157756:0.774290:0.126597:0.774290:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.117524:0.796268:0.166830:0.796268:0.166830:0.784348:0.117524:0.784348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.300876:0.658437:0.307617:0.658437:0.307617:0.646538:0.300876:0.646538:0.000000
 > 0:@0.307617:0.658437:0.328014:0.658437:0.328014:0.646518:0.307617:0.646518:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.291454:0.668496:0.340384:0.668496:0.340384:0.656576:0.291454:0.656576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.283694:0.678554:0.345221:0.678554:0.345221:0.666635:0.283694:0.666635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.300889:0.776151:0.307630:0.776151:0.307630:0.764252:0.300889:0.764252:0.000000
 < 0:@0.307630:0.776151:0.328028:0.776151:0.328028:0.764232:0.307630:0.764232:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.291467:0.786209:0.340398:0.786209:0.340398:0.774290:0.291467:0.774290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.284150:0.796268:0.344780:0.796268:0.344780:0.784348:0.284150:0.784348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.306826:0.616534:0.319223:0.616534:0.319223:0.604635:0.306826:0.604635:0.000000:0.000000:0.000000
( ) = :@0.310244:0.616534:0.336632:0.616534:0.336632:0.604615:0.310244:0.604615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.336632:0.616534:0.348801:0.616534:0.348801:0.604635:0.336632:0.604635:0.000000:0.000000
2:@0.348782:0.612135:0.352595:0.612135:0.352595:0.605186:0.348782:0.605186:0.000000
f x:@0.306251:0.879208:0.318648:0.879208:0.318648:0.867309:0.306251:0.867309:0.000000:0.000000:0.000000
( ) = –:@0.309669:0.879208:0.342758:0.879208:0.342758:0.867289:0.309669:0.867289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.342758:0.879208:0.354927:0.879208:0.354927:0.867309:0.342758:0.867309:0.000000:0.000000
2:@0.354927:0.874810:0.358740:0.874810:0.358740:0.867861:0.354927:0.867861:0.000000
x:@0.301537:0.711107:0.306965:0.711107:0.306965:0.699208:0.301537:0.699208:0.000000
 > 0:@0.306965:0.711107:0.327363:0.711107:0.327363:0.699188:0.306965:0.699188:0.000000:0.000000:0.000000:0.000000
Curva :@0.298870:0.721165:0.332965:0.721165:0.332965:0.709246:0.298870:0.709246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.289797:0.731224:0.339103:0.731224:0.339103:0.719304:0.289797:0.719304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.301537:0.825048:0.306965:0.825048:0.306965:0.813149:0.301537:0.813149:0.000000
 > 0:@0.306965:0.825048:0.327363:0.825048:0.327363:0.813129:0.306965:0.813129:0.000000:0.000000:0.000000:0.000000
Curva:@0.298870:0.835107:0.330030:0.835107:0.330030:0.823188:0.298870:0.823188:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.282909:0.845165:0.346004:0.845165:0.346004:0.833246:0.282909:0.833246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Eje de simetría:@0.242679:0.681121:0.242679:0.622864:0.226798:0.622864:0.226798:0.681121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice:@0.130737:0.721353:0.166922:0.721353:0.166922:0.709433:0.130737:0.709433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.194664:0.754066:0.207905:0.754066:0.207905:0.742147:0.194664:0.742147:0.000000:0.000000
1:@0.245497:0.754066:0.252037:0.754066:0.252037:0.742147:0.245497:0.742147:0.000000
2:@0.269245:0.754066:0.275785:0.754066:0.275785:0.742147:0.269245:0.742147:0.000000
3:@0.292994:0.754066:0.299534:0.754066:0.299534:0.742147:0.292994:0.742147:0.000000
4:@0.316742:0.754066:0.323282:0.754066:0.323282:0.742147:0.316742:0.742147:0.000000
5:@0.339914:0.754147:0.346454:0.754147:0.346454:0.742228:0.339914:0.742228:0.000000
–2:@0.170929:0.754066:0.184170:0.754066:0.184170:0.742147:0.170929:0.742147:0.000000:0.000000
–3:@0.147181:0.754066:0.160422:0.754066:0.160422:0.742147:0.147181:0.742147:0.000000:0.000000
–4:@0.123432:0.754066:0.136674:0.754066:0.136674:0.742147:0.123432:0.742147:0.000000:0.000000
1:@0.208816:0.729041:0.215356:0.729041:0.215356:0.717122:0.208816:0.717122:0.000000
–1:@0.205466:0.764678:0.218707:0.764678:0.218707:0.752759:0.205466:0.752759:0.000000:0.000000
–2:@0.205466:0.782501:0.218707:0.782501:0.218707:0.770582:0.205466:0.770582:0.000000:0.000000
–3:@0.205466:0.800325:0.218707:0.800325:0.218707:0.788406:0.205466:0.788406:0.000000:0.000000
–4:@0.205466:0.818148:0.218707:0.818148:0.218707:0.806229:0.205466:0.806229:0.000000:0.000000
–5:@0.205466:0.835972:0.218707:0.835972:0.218707:0.824053:0.205466:0.824053:0.000000:0.000000
–6:@0.205466:0.853795:0.218707:0.853795:0.218707:0.841876:0.205466:0.841876:0.000000:0.000000
–7:@0.205466:0.871619:0.218707:0.871619:0.218707:0.859700:0.205466:0.859700:0.000000:0.000000
2:@0.208816:0.711238:0.215356:0.711238:0.215356:0.699318:0.208816:0.699318:0.000000
3:@0.208816:0.693414:0.215356:0.693414:0.215356:0.681495:0.208816:0.681495:0.000000
4:@0.208816:0.675591:0.215356:0.675591:0.215356:0.663671:0.208816:0.663671:0.000000
5:@0.208816:0.657767:0.215356:0.657767:0.215356:0.645848:0.208816:0.645848:0.000000
6:@0.208816:0.639944:0.215356:0.639944:0.215356:0.628024:0.208816:0.628024:0.000000
7:@0.208950:0.622120:0.215490:0.622120:0.215490:0.610201:0.208950:0.610201:0.000000
Concavidad:@0.394578:0.598042:0.476246:0.598042:0.476246:0.582929:0.394578:0.582929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: esta orientación depende del signo del término cuadrático :@0.476163:0.598042:0.873630:0.598042:0.873630:0.583142:0.476163:0.583142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.873546:0.598042:0.888674:0.598042:0.888674:0.583168:0.873546:0.583168:0.000000:0.000000
2:@0.888581:0.592544:0.893348:0.592544:0.893348:0.583858:0.888581:0.583858:0.000000
Si   > 0 (positivo), la parábola es cóncava hacia arriba y tiene un punto :@0.394578:0.613129:0.865482:0.613129:0.865482:0.598230:0.394578:0.598230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.409522:0.613129:0.417948:0.613129:0.417948:0.598255:0.409522:0.598255:0.000000
mínimo que es el vértice. :@0.394578:0.628217:0.565383:0.628217:0.565383:0.613318:0.394578:0.613318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a < 0 (negativo), la parábola es cóncava hacia abajo y tiene un punto :@0.394578:0.658392:0.869452:0.658392:0.869452:0.643493:0.394578:0.643493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máximo que es el vértice.:@0.394578:0.673480:0.564026:0.673480:0.564026:0.658581:0.394578:0.658581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cortes de la parábola con los ejes coordenados:@0.394578:0.703655:0.720996:0.703655:0.720996:0.688542:0.394578:0.688542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: son los puntos donde la :@0.720996:0.703655:0.891533:0.703655:0.891533:0.688756:0.720996:0.688756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función es cero. Para hallar el corte con el eje x se hace  ( ) = 0 y se resuelve :@0.394578:0.718742:0.898335:0.718742:0.898335:0.703843:0.394578:0.703843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.761201:0.718742:0.776697:0.718742:0.776697:0.703869:0.761201:0.703869:0.000000:0.000000:0.000000
la ecuación :@0.394578:0.733830:0.474035:0.733830:0.474035:0.718931:0.394578:0.718931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.474035:0.733830:0.489246:0.733830:0.489246:0.718956:0.474035:0.718956:0.000000:0.000000
2:@0.489245:0.728332:0.494011:0.728332:0.494011:0.719646:0.489245:0.719646:0.000000
 +   +   = 0.:@0.494011:0.733830:0.579096:0.733830:0.579096:0.718931:0.494011:0.718931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.511333:0.733830:0.526393:0.733830:0.526393:0.718956:0.511333:0.718956:0.000000:0.000000
c:@0.543715:0.733830:0.550684:0.733830:0.550684:0.718956:0.543715:0.718956:0.000000
El corte con el eje y es: (0,  ), cuando   = 0.:@0.394585:0.748918:0.675104:0.748918:0.675104:0.734019:0.394585:0.734019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.567269:0.748918:0.574238:0.748918:0.574238:0.734044:0.567269:0.734044:0.000000
x:@0.639907:0.748918:0.646692:0.748918:0.646692:0.734044:0.639907:0.734044:0.000000
Eje de simetría:@0.394585:0.779093:0.496237:0.779093:0.496237:0.763980:0.394585:0.763980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: es la recta que divide simétricamente a la parábola, está :@0.496237:0.779093:0.877366:0.779093:0.877366:0.764194:0.496237:0.764194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado por la ecuación :@0.394585:0.802391:0.539225:0.802391:0.539225:0.787492:0.394585:0.787492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.542750:0.801944:0.549467:0.801944:0.549467:0.787219:0.542750:0.787219:0.000000
b:@0.581807:0.794053:0.590150:0.794053:0.590150:0.779328:0.581807:0.779328:0.000000
a:@0.585673:0.811705:0.594015:0.811705:0.594015:0.796980:0.585673:0.796980:0.000000
=−:@0.553728:0.801571:0.575089:0.801571:0.575089:0.786323:0.553728:0.786323:0.000000:0.000000
2:@0.577898:0.811705:0.585992:0.811705:0.585992:0.796955:0.577898:0.796955:0.000000
Vértice (V):@0.394578:0.832571:0.467081:0.832571:0.467081:0.817458:0.394578:0.817458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: es el punto de corte del eje:@0.467081:0.832571:0.655661:0.832571:0.655661:0.817672:0.467081:0.817672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de simetría con la parábola, tiene como coordenadas: :@0.394578:0.856221:0.754934:0.856221:0.754934:0.841322:0.394578:0.841322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.756393:0.856554:0.764603:0.856554:0.764603:0.841829:0.756393:0.841829:0.000000
b:@0.792532:0.848662:0.800874:0.848662:0.800874:0.833937:0.792532:0.833937:0.000000
a:@0.796396:0.866313:0.804738:0.866313:0.804738:0.851587:0.796396:0.851587:0.000000
f:@0.812185:0.856554:0.816414:0.856554:0.816414:0.841829:0.812185:0.841829:0.000000
b:@0.844973:0.848662:0.853315:0.848662:0.853315:0.833937:0.844973:0.833937:0.000000
a:@0.848837:0.866313:0.857180:0.866313:0.857180:0.851587:0.848837:0.851587:0.000000
−:@0.776701:0.856180:0.785806:0.856180:0.785806:0.840933:0.776701:0.840933:0.000000
−:@0.829142:0.856180:0.838247:0.856180:0.838247:0.840933:0.829142:0.840933:0.000000
:@0.820471:0.849426:0.826840:0.849426:0.826840:0.834178:0.820471:0.834178:0.000000
:@0.820471:0.867213:0.826840:0.867213:0.826840:0.851966:0.820471:0.851966:0.000000
:@0.820471:0.859397:0.826840:0.859397:0.826840:0.844149:0.820471:0.844149:0.000000
:@0.860325:0.849426:0.874803:0.848430:0.874803:0.833183:0.860325:0.834178:0.000000:0.000000
:@0.860325:0.867213:0.874803:0.868197:0.874803:0.852949:0.860325:0.851966:0.000000:0.000000
:@0.860325:0.859397:0.874803:0.859708:0.874803:0.844460:0.860325:0.844149:0.000000:0.000000
:@0.768030:0.848430:0.774398:0.848430:0.774398:0.833183:0.768030:0.833183:0.000000
:@0.768030:0.868197:0.774398:0.868197:0.774398:0.852949:0.768030:0.852949:0.000000
:@0.768030:0.859708:0.774398:0.859708:0.774398:0.844460:0.768030:0.844460:0.000000
2:@0.788622:0.866314:0.796715:0.866314:0.796715:0.851564:0.788622:0.851564:0.000000
2:@0.841063:0.866314:0.849156:0.866314:0.849156:0.851564:0.841063:0.851564:0.000000
,:@0.807798:0.856554:0.810684:0.856554:0.810684:0.841804:0.807798:0.841804:0.000000
La función  ( ) = :@0.394578:0.871307:0.505412:0.871307:0.505412:0.856408:0.394578:0.856408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.468155:0.871307:0.483651:0.871307:0.483651:0.856433:0.468155:0.856433:0.000000:0.000000:0.000000
ax:@0.505412:0.871307:0.520623:0.871307:0.520623:0.856433:0.505412:0.856433:0.000000:0.000000
2:@0.520622:0.865810:0.525388:0.865810:0.525388:0.857123:0.520622:0.857123:0.000000
 tiene::@0.525388:0.871307:0.565878:0.871307:0.565878:0.856408:0.525388:0.856408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio = :@0.394585:0.886395:0.470373:0.886395:0.470373:0.871496:0.394585:0.871496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.470373:0.886923:0.482468:0.886923:0.482468:0.870917:0.470373:0.870917:0.000000
Recorrido: :@0.394585:0.901482:0.465865:0.901482:0.465865:0.886583:0.394585:0.886583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.465865:0.902010:0.501398:0.902010:0.501398:0.886005:0.465865:0.886005:0.000000:0.000000:0.000000
+:@0.477953:0.895985:0.483774:0.895985:0.483774:0.887299:0.477953:0.887299:0.000000
 {0} si   > 0  ó  :@0.501398:0.901482:0.596720:0.901482:0.596720:0.886583:0.501398:0.886583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.539209:0.901482:0.547635:0.901482:0.547635:0.886608:0.539209:0.886608:0.000000
 :@0.596720:0.902010:0.631318:0.902010:0.631318:0.886005:0.596720:0.886005:0.000000:0.000000:0.000000
–:@0.608811:0.895985:0.613695:0.895985:0.613695:0.887299:0.608811:0.887299:0.000000
 {0} si   < 0:@0.631318:0.901482:0.703052:0.901482:0.703052:0.886583:0.631318:0.886583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.669128:0.901482:0.677555:0.901482:0.677555:0.886608:0.669128:0.886608:0.000000
©Shutterstock:@0.068421:0.309925:0.068421:0.267099:0.056510:0.267099:0.056510:0.309925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En varios deportes, la trayectoria:@0.064305:0.453833:0.250674:0.453833:0.250674:0.440424:0.064305:0.440424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la pelota es una parábola.:@0.075628:0.466405:0.250689:0.466405:0.250689:0.452995:0.075628:0.452995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000