Write the equation of a parabola with vertex (-5,8) and directrix x=2. show all of your work and put your equation in graphing/vertex form

if anyone can that'd be amazing : )

ANSWER

EXPLANATION

The equation of a parabola whose axis of symmetry is parallel to the x-axis is given by;

where (h ,k)=(-5,8) is the vertex and p is the focal length.

The focal length is the distance from the focus to the vertex.

This is equal to the distance from the vertex to the directrix.

p=2--5=7

But because the parabola opens in the negative direction of the x-axis, its equation becomes,