# What is the equation of the parabola with a focus at (-5,-8) and a directrix of y= -3?

##### 1 Answer

Dec 13, 2017

#### Explanation:

Parabola is the path traced by a point so that it's distance from a given point called focus and a given line called directrix is always equal.

Let the point on parabola be

It's distance from focus

Hence the equation of the parabola with a focus at

or

or

or

or

graph{ (10y+x^2+10x+80)(y+3)((x+5)^2+(y+8)^2-0.1)=0 [-15, 5, -10, 0]}