Bonjour, Donner la forme canonique et le sommet S des trinômes suivant: f (x)= 2x^+4x-1 g (x)= 4x^-12x+9

bonjour

f(x) = 2 x² + 4 x - 1

α = - 4/4 = - 1

β = 2 ( -1)² + 4 ( -1) - 1 = 2 - 4 - 1 = - 1

f(x) = 2 ( x + 1)² - 1

g(x) = 4 x² - 12 x + 9  

α = 12/8 =  3/2

β = 4 ( 3/2)² - 12 ( 3/2) + 9

   = 4 -9/4 - 36/2 + 9

   = - 36/4 - 72/4 + 36/4 = - 72/4 = - 18

g(x) = 4 ( x - 3/2)² - 18