# What is the equation of the parabola that has a vertex at # (-4, 2) # and passes through point # (-12,-3) #?

##### 1 Answer

OR

#### Explanation:

**Case 1: Horizontal parabola**

Let the equation of horizontal parabola with the vertex

Since above parabola passes through the point

hence, the equation of horizontal parabola

**Case 2: Vertical parabola**

Let the equation of vertical parabola with the vertex

Since above parabola passes through the point

hence, the equation of vertical parabola