# What is the equation of the parabola with a focus at (0,0) and a directrix of y= 3?

##### 1 Answer

Jun 28, 2018

#### Explanation:

Parabola is the locus of a point, which moves so that its distance, from a line called directrix and a point called focus, is always equal.

Let the point be

and its distance from directrix

and hence equation of parabola is

or

graph{(x^2+6y-9)(y-3)(x^2+y^2-0.03)=0 [-10, 10, -5, 5]}