# What is the equation of the parabola with a focus at (-8,-4) and a directrix of y= 5?

##### 1 Answer

May 28, 2017

#### Explanation:

Parabola is the locus of a point, which movesso that its distance from a point called **focus** and a line called **directrix** is always equal.

Let the point be

its distance from

and its distance from line

Hence equation of parabola is

or

or

or

or

or

graph{(y+1/18(x+8)^2-8/9)(y-5)((x+8)^2+(y+4)^2-0.09)=0 [-24.92, 15.08, -9.2, 10.8]}