# How do you find the equation of the parabola with directrix y=3 and focus (-3,-2)?

##### 1 Answer

Mar 13, 2016

Standard form:

Rearranging,

#### Explanation:

The axis of the parabola is perpendicular to the directrix through the focus S. So, its equation is x =

The vertex V is on the axis, midway in-between focus S and directrix.

So, V is at

The size parameter a = VS =

Now, the equation is as given in the answer,

Note that 4a =