# What is the standard form of the equation of the parabola with a directrix at x=-3 and a focus at (5,3)?

##### 1 Answer

Jan 3, 2016

The Equation of the Parabola is

#### Explanation:

graph{x=16y^2-96y+145 [-10, 10, -5, 5]}

Here the focus is at (5,3) and directrix is x = -3 ; We know the Vertex

is at equidistance from focus and directrix. So the vertex co-

ordinate is at (1,3) and the distance p between vertex and directrix is

and directrix at x=-3 is

or