# What is the vertex form of the equation of the parabola with a focus at (8,-5) and a directrix of #y=-6 #?

##### 1 Answer

The directrix is a horizontal line, therefore, the vertex form is:

The focus is

The equation of the directrix is

#### Explanation:

Given that the focus is

Given that the equation of the directrix is

We can use equations [6] and [7] to find the values of k and f:

Use equation [2] to find the value of "a":

Substitute the values for, a, h, and k into equation [1]:

Equation [8] is the desired equation.