# What is the equation of the parabola with a focus at (-1,-2) and a directrix of y= -10?

##### 1 Answer

Jan 20, 2016

#### Explanation:

Let

Focus of the parabola is given at

Distance between the two points is

or

Now distance between the point

Equate the two distance expressions and squaring both sides.

or

Rearranging and taking term containing

For any point