# What is the equation of the parabola that has a vertex at # (56, -2) # and passes through point # (53,-9) #?

##### 1 Answer

Dec 27, 2015

#### Explanation:

**The general form of the equation is**

Given

#color(red)(x = 53) , color(purple)(y = -9)#

**Substitute into the general form of the parabola**

**Solve for**

#-7 = 9a #

#-7/9= a#

The equation for parabola with the given condition will be

graph{y= -7/9 (x-56)^2 -2 [-10, 10, -5, 5]}