# What is the equation of the parabola that has a vertex at # (-4, 2) # and passes through point # (-7,-34) #?

##### 1 Answer

Dec 24, 2015

To solve this you need to use the vertex form of the equation of a parabola which is

#### Explanation:

The first step is to define your variables

And we know one set of points on the graph, so

Next solve the formula for

To create a general formula for the parabola you would put in the values for

So the equation of a parabola that has a vertex at