Question

G(x)=-x²+6x-8 encontre as condenadas do vértice

Answer 1

Olá, boa tarde!

$Coeficientes:\;a=-1,\;b=6\;e\;c=-8\\\\x_v=-\dfrac{b}{2a}\\\\x_v=-\dfrac{6}{2\cdot(-1)}\\\\x_v=-\dfrac{6}{-2}\\\\x_v=-(-3)\\\\x_v=3\\\\\\\\y_v=-\dfrac{\Delta}{4a}\\\\y_v=-\dfrac{b^2-4ac}{4\cdot(-1)}\\\\y_v=-\dfrac{6^2-4\cdot(-1)\cdot(-8)}{-4}\\\\y_v=-\dfrac{36-32}{-4}\\\\y_v=-\dfrac{4}{-4}\\\\y_v=-(-1)\\\\y_v=1\\\\\\\boxed{Resposta:(3,1)}$

Espero ter ajudado.

Bons estudos! :)