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:

Answer 2

(-12,8)

EXPLANATION

The equation of the parabola is given as:

`y = - (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)