Question

Write the standard form of the equations of the parabola with its vertex at the origin and directrix at x=8.

Answer 1

So this parabola opens to the right, do you agree?

Answer 2

how can you tell? @Mertsj

Answer 3

actually, I was thinking of the focus and not the directrix. Since the directrix is x = 8, it opens to the left

Answer 4

Do you agree with that?

Answer 5

Because the directrix never intersects the parabola.

Answer 6

oh okay but yes I do agree

Answer 7

@Mertsj

Answer 8

So it is of the form y^2=4px where p is the distance from the vertex to the directrix and from the focus to the vertex.

Answer 9

would it be y^2=-32x @Mertsj

Answer 10

yes

Answer 11

thank you! @Mertsj

Answer 12

yw