# What is the equation of the parabola with a focus at (3,18) and a directrix of y= 23?

##### 1 Answer

Jun 18, 2017

**Equation of parabola is**

#### Explanation:

Focus at

Vertex is at equidistant from focus and directrix.

So vertex is at

Since directrix is above vertex , the parabola opens downwards and

Hence equation of parabola is

graph{-1/10(x-3)^2+20.5 [-80, 80, -40, 40]} [Ans]