# Suppose a parabola has vertex (4,7) and also passes through the point (-3,8). What is the equation of the parabola in vertex form?

##### 1 Answer

Actually, there are two parabolas (of vertex form) that meet your specifications:

#### Explanation:

There are two vertex forms:

where

We are given no reason to exclude one of the forms, therefore we substitute the given vertex into both:

Solve for both values of a using the point

Here are the two equations:

Here is an image containing both parabolas and the two points:

Please observe that both have the vertex