# What is the equation of the parabola that has a vertex at # (0, 16) # and passes through point # (2,20) #?

##### 1 Answer

May 27, 2018

The equation is

#### Explanation:

Recall vertex form of a parabola is given by

#y = a(x - p)^2 + q#

Where

#20 = a(2 - 0)^2 + 16#

#4 = a(4)#

#a = 1#

Therefore the equation of the parabola is

Hopefully this helps!