# What is the equation of the parabola with a focus at (0, 2) and vertex at (0,0)?

##### 1 Answer

Apr 26, 2017

#### Explanation:

If the focus is above or below the vertex, then the vertex form of the equation of the parabola is:

If the focus is to the left or right the vertex, then the vertex form of the equation of the parabola is:

Our case uses equation [1] where we substitute 0 for both h and k:

The focal distance, f, from the vertex to the focus is:

Compute the value of "a" using the following equation:

Substitute

Simplify: