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The equation of a parabola is given.
y=-1/12x^2 - 2x-1
What are the coordinates of the focus of the parabola?
Enter your answer in the boxes.​

The equation of a parabola is giveny112x2 2x1 What are the coordinates of the focus of the parabolaEnter your answer in the boxes class=

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ANSWER

(-12,8)

EXPLANATION

The equation of the parabola is given as:

[tex]y = - \frac{1}{12} {x}^{2} - 2x - 1[/tex]

We can rewrite this in the vertex form as:

[tex] {(x + 12)}^{2} = - 12(y - 11)[/tex]

This implies that

[tex]4p = 12[/tex]

p=3

The vertex of this parabola is (-12,11)

The focus is

(-12,11-3)

=(-12,8)

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