# How do you find the equation of a parabola with directrix y=-1 and focus F(0,0)?

##### 1 Answer

Mar 8, 2017

The equation of a parabola is

#### Explanation:

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

We know that the distance between two points

the distance between point

Now distance of a point

and its distance from directrix

Hence, equation of parabola would be

graph{x^2-2y-1=0 [-2.592, 2.408, -1.07, 1.43]}