Question 166083
What is the equation for the parabola with focus (-2,-2) and directrix y = 4?

We are dealing with the equation: y = ax^2

We need to find a in the equation y = ax^2

We use this fact:

Directrix: y= -1/4a

We are given the directrix to be 4.

So, plug and chug.

4 = -1/4a

Divide both sides by a.

4a = -1/4

Divide both sides by 4 to find a.

a = -1/16

The equation is y = (-1/16)x^2