# How do you find the equation of the parabola with the given focus F(0,3) and directrix y=-5?

##### 1 Answer

#### Explanation:

Since the directrix (the line on which the "bowl" of the parabola "floats" near to) is given by

The focus of a parabola lies "inside" of the "bowl" of the parabola, on the opposite side of the parabola as the directrix. This indicates that the parabola must open upwards from the directrix "towards" the focus.

The general form of an upward opening parabola is:

The vertex

Putting this together, we arrive at:

graph{1/16*x^2-1 [-10, 10, -5, 5]}