# What is the equation of the parabola that has a vertex at # (2, -1) # and passes through point # (3,-4) #?

##### 1 Answer

Apr 17, 2018

#### Explanation:

This problem will be easier if we express the equation for the parabola in **vertex form**.

where

Since the parabola passes through the point

and solve for

So the equation for the parabola is

We can expand the binomial to obtain the equation for the parabola in **standard form**.

graph{-3x^2+12x-13 [-1, 4, -10, 5]}