• Matéria: Matemática
  • Autor: rekalves257s
  • Perguntado 9 anos atrás

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

a) ( -1, 4)

b) ( 2, 0)

c) ( -1, 1 )

d) ( 1, 0 )

Respostas

respondido por: Anônimo
5
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!


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