# How do you find the standard form of the equation of the parabola with a focus at (0, -6) and a directrix at y = 6?

##### 1 Answer

Mar 7, 2018

**The equation of parabola is**

#### Explanation:

Focus is at

between focus and directrix. Therefore vertex is at

or at

So the equation of parabola is

Distance of vertex from directrix is

is above the vertex , so parabola opens downward and

negative

graph{-1/24 x^2 [-160, 160, -80, 80]} [Ans]