# What is the equation of the parabola that has a vertex at # (-18, -12) # and passes through point # (-3,7) #?

##### 2 Answers

#### Explanation:

Use the general quadratic formula,

Since the vertex is given

The only unkown variable left is

Finally, the equation of the quadratic is,

graph{19/225(x+18)^2-12 [-58.5, 58.53, -29.26, 29.25]}

There are two equations that represent two parabolas that have the same vertex and pass through the same point. The two equations are:

#### Explanation:

Using the vertex forms:

Substitute

Substitute

Solve for both values of

The two equations are:

Here is a graph of the two points and the two parabolas: