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.

hi there!

the answer will be d: 2