Question

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.​

Answer 1

ANSWER

(-12,8)

EXPLANATION

The equation of the parabola is given as:

$y = - \frac{1}{12} {x}^{2} - 2x - 1$

We can rewrite this in the vertex form as:

${(x + 12)}^{2} = - 12(y - 11)$

This implies that

$4p = 12$

p=3

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

The focus is

(-12,11-3)

=(-12,8)