Answer:
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
[tex](y-k)^2=4p(x-h)[/tex]
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
[tex]y^2=8(x-10)[/tex] and
[tex]y^2=8x-80[/tex] and
[tex]y^2+80=8x[/tex] so
[tex]x=\frac{1}{8}y^2+10[/tex]
Not sure what form you need it in, work form or standard form.
