# How do you write an equation of a parabola with its vertex at the origin and focus at (0,-5)?

##### 1 Answer

Sep 20, 2017

**Equation of parabola is**

#### Explanation:

Equation of parabola in vertex form is

being vertex , here vertex is at origin ,i.e

So equation of parabola is

Focus is at

mid point between focus and directrix ,which is above the vertex.

The parabola opens downward so

Directrix is

We know

Hence equation of parabola is

graph{-1/20x^2 [-40, 40, -20, 20]} [Ans]