# How do you find the equation of the parabola with vertex (0,0) and focus (0,-3)?

##### 1 Answer

Jun 30, 2018

The equation is

#### Explanation:

If the vertex is at

The focus is the mid-point from the vertex to the directrix,

Therefore,

The directrix is

Any point

Therefore,

Squaring both sides

graph{-1/12x^2 [-10, 10, -5, 5]}