# What is the equation of the parabola with a focus at (3,18) and a directrix of y= 17?

##### 1 Answer

Jun 5, 2017

**The equation of parabola is**

#### Explanation:

The focus is at

The vertex is at equidistant from focus and directrix. So vertex is at

The standard equation of parabola is

So the equation of parabola is

graph{1/2(x-3)^2+17.5 [-80, 80, -40, 40]} [Ans]