# What is the equation of the parabola that has a vertex at # (-2, 3) # and passes through point # (13, 0) #?

##### 2 Answers

equation of parabola can be expressed as,

Given,

So,putting the values we get,

or,

So,the equation becomes,

or

#### Explanation:

We can make two types of parabolas, one vertical and other horizontal. The equation of vertical parabola, whose vertex is

and hence equation is

The curve appears as follows:

graph{(y+1/75(x+2)^2-3)((x+2)^2+(y-3)^2-0.08)=0 [-20, 20, -10, 10]}

The equation of horizontal parabola, whose vertex is

and hence equation is

The curve appears as follows:

graph{(x-5/3(y-3)^2+2)((x+2)^2+(y-3)^2-0.08)=0 [-20, 20, -10, 10]}