amk.py

Created by keremozke

Created on November 22, 2023

695 Bytes

fonction polynome du 2nd degré est
une fonction definie sur R par f(x)
ax2+bx+c  avec a n est pas=0
trinome du 2 nd degré=ax2+bx+c
le nb u est une racin du trinome
si axu2+bxu+c=0
ex=-2
2x2+x-6
2x(-2)2-2-6
2x4-2-6
8-8=0 donc oui
forme canonique  ax2+bx+c
a=1;b=24;c=100
c un trinome du 2 nd degré
on a:x2+24x=(x+12)2-144
(x+12)2-144+100=(x+12)2-44
on dit (x+12)2-44 est la
forme canonique de x2+24x+100
f(x)=ax(x-alpha)2+beta
alpha=-b/2xa
beta=f(alpha)
ax(x-alpha)2+beta est appelé 
forme canonique de ax2+bx+c
ex=x2+24x+100 
alpha=-12
beta=-44
donc=1x(x-(-12)2-44
si a est supérieur à 0 alr
fleche vers le bas et betta bas
sinn contraire
c'est une parabole
S(alpha;beta)

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