Question

y = - x^2 + 6x - 5
Lembrando: V (Xv, Yv) Onde
Xv = - b/2.a Yv = aXv^2 + bXv + c

Answer 1

Explicação passo-a-passo:

Temos que $y=-x^{2} +6x-5$ onde $a=-1;b=6;c=-5$.

Calculando as coordenadas do vértice:

$x_{v} =\frac{-b}{2.a} \\\\x_{v} =\frac{-6}{2.(-1)}\\ \\x_{v} =\frac{-6}{-2} \\\\x_{v} =3$

$y_{v}=-x_{v} ^{2} +6x_{v} -5\\\\y_{v}=-(3)^{2} +6.3-5\\\\y_{v}=-9+18-5\\\\y_{v}=4$

V(3, 4)