# What is the equation in standard form of the parabola with a focus at (12,-5) and a directrix of y= -6?

##### 1 Answer

Mar 19, 2017

Because the directrix is a horizontal line, then the vertex form is

#### Explanation:

The the focal distance, f, is half of the vertical distance from the focus to the directrix:

h is the same as the x coordinate of the focus

The vertex form of the equation is:

Expand the square:

Use the distributive property:

Standard form: