Write the equation of a parabola with a vertex at (10, 0) and a directrix x = 8.

Step-by-step explanation:

If we plot both the vertex and the directrix, we see that the parabola opens to the right.  We know this because of the fact that the directrix is a vertical line.  Because the vertex is to the right of the directrix and a parabola always opens away from the directrix, we know this is of the form

h and k are the coordinates of the vertex which we are given.  Our h = 10 and our k = 0.  P is defined as the distance between the vertex and the directrix, so our p = 2.  Filling in the equation with all of that gives us

and

and

so

Not sure what form you need it in, work form or standard form.

you can't solve x because it is 2 linear equation and you only have one equation