# What is the equation of the parabola that has a vertex at # (34, -3) # and passes through point # (32,-43) #?

##### 1 Answer

Apr 27, 2017

There are two parabolas that have the given vertex and can pass through the given point:

#### Explanation:

Using both vertex forms of the equation of a parabola:

Substitute the 34 for h and -3 for k:

Solve for both values of a by substituting 32 for x and 43 for y: