# What is the standard form of the equation of the parabola with a directrix at x=103 and a focus at (108,41)?

##### 1 Answer

#### Explanation:

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

Now, the distance between two pints

Coming to parabola with directrix

and its distance from

and as the two are equal, equation of parabola would be

or

or

or

or

or

or in vertex form

and vertex is

Its graph appears as shown below, along with focus and directrix.

graph{(y^2-82y-10x+2736)((108-x)^2+(41-y)^2-0.6)(x-103)=0 [51.6, 210.4, -13.3, 66.1]}