# What is the equation of the parabola with a focus at (7,5) and a directrix of y= -3?

##### 1 Answer

Mar 30, 2018

Parabola's equation is

#### Explanation:

Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.

Let the point be

Hence equaion of parabola is

or

or

i.e.

or

or

Hence parabola's equation is

graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}