# What is the equation has a graph that is a parabola with a vertex at (-2, 0)?

##### 1 Answer

Nov 21, 2016

A family of parabolas given by

#### Explanation:

The general equation of parabolas is

(x+hy)^2+ax+by+c=0. Note the perfect square for the 2nd degree

terms.

This passes through the vertex

The required system ( family ) of parabolas is given by

Let us get a member of the family.

Upon setting h = 0, b = c = 4, the equation becomes

graph{-1/4 (x+2)^2 [-10, 10, -5, 5]}