Question

Y=x¹+6x+11 de as coordenadas vértice x e y.

Answer 1

Acho que tu quis dizer: y = x² + 6x + 11 certo!?

As coordenadas do vertice são dadas por:

$V\;\left(-\frac{b}{2a}\;,\;-\frac{\Delta}{4a}\right)$

Vamos então calcular o Δ.

a = 1  ;  b = 6  ;  c = 11

Δ = b² - 4.a.c

Δ = 6² - 4.1.11

Δ = 36 - 44

Δ = -8

Assim o vertice fica:

$V\;\left(-\frac{6}{2.1}\;,\;-\frac{-8}{4.1}\right)\\\\V\;\left(-\frac{6}{2}\;,\;-\frac{-8}{4}\right)\\\\V\;\left(-3\;,\;-(-2)\right)\\\\V\;\left(-3\;,\;2\right)$