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.

ANSWER

EXPLANATION

We want to write the equation of a parabola with vertex (-5,8) and directrix x=2.

The equation of the directrix tells us that, the axis of symmetry of the parabola is parallel to the x-axis.

This type of parabola has equation of the form:

p is the focal length of the parabola.

p=-7 because the parabola opens along the negative x-axis.

Hence the equation is

x=30

step-by-step explanation:

-2 is the right