# What is the vertex form of the equation of the parabola with a focus at (-4,7) and a directrix of #y=13#?

##### 1 Answer

Dec 22, 2016

The equation is

#### Explanation:

The focus is F

and the directrix is

By definition, any point

Therefore,

The parabola opens downwards

graph{(y+1/12(x+4)^2-10)(y-13)=0 [-35.54, 37.54, -15.14, 21.4]}