Réponses

2012-09-16T12:21:12+02:00

f(x)=x²-x

(x-1/2)² = x² - x + 1/4

f(x)= (x-1/2)² - 1/4


g(x)=-2x²+2x+1

-2(x-1/2)² = -2(x² - x + 1/4)

g(x)=-2(x-1/2)² + 3/2

 

h(x)=3x²-5x+5

3(x-5/6)² = 3(x² - 5x/3 + 25/36)

h(x) = 3(x-5/6)² + 105/36

 

k(t)=(2t+1)(1-t) = 2t - 2t² + 1 -t = -2t² + t + 1

-2(t-1/4)² = -2(t² - t/2 + 1/16)

k(t)= -2(t-1/4)² + 9/8

 

En espérant t'avoir aidé.