# How do you find the equation of a parabola when given Focus (-2, 6) Vertex (-2, 9)?

##### 1 Answer

#### Explanation:

[There may be a more direct route to this solution, but the following uses the tools I remember.]

A parabola in vertex form has the general form:

with a vertex at

So a parabola with a vertex at

has

The focus of a parabola given the general vertex form (above) is at

With the given focus at

and since

Substituting the derived values for