Respuesta :

The answer is C. (-2,-7)

you just have to find the solution to Y.
Vertex of a parabola exists at:

[tex]( \frac{-b}{2a},y( \frac{-b}{2a})) [/tex]

b = coefficient of x term = 8
a = coefficient of squared term = 2

So,

[tex] \frac{-b}{2a}= \frac{-8}{4}=-2 [/tex]

and

[tex]y(-2)=2(-2)^{2}+8(-2)+1=-7 [/tex]

Therefore, the vertex occurs at (-2, -7)

So, the correct answer is option C

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