Question

As coordenadas do vértice da função y=x² -4x + 4 são :

a) ( -1, 4)

b) ( 2, 0)

c) ( -1, 1 )

d) ( 1, 0 )

Answer 1

Boa tarde!

Solução!

$a=1\\\\\ b=-4\\\\\ c=4\\\\\\\\ x_{v}= \dfrac{b}{-2a} \\\\\\ x_{v}= \dfrac{-4}{-2.1} \\\\\\\\\ x_{v}= \dfrac{-4}{-2} \\\\\\\\\ \boxed{x_{v}=2}$


$y_{v}= \dfrac{b^{2}-4.a.c }{-4a}\\\\\\\\ y_{v}= \dfrac{(-4)^{2}-4.1.4 }{-4.1}\\\\\\\\ y_{v}= \dfrac{16-16 }{-4}\\\\\\\\ y_{v}= \dfrac{0}{-4}\\\\\\\\ \boxed{y_{v}= 0}$


$V(2,0)\\\\\\ Resposta:Alternativa~~b$

Boa noite!
Bons estudos!