Question

What is the vertex, focus, and directix of the following?

x^2=-3y
Y^2=8x

Answer 1

Hmm Well the directix for the first one is. 3/4

Answer 2

And it seems the vertex is (0,0)

Answer 3

Yes. It is concave downward so the directrix is a horizontal line. 4p = 3 so p = 3/4 so the focus is (0,-3/4) and the directrix is y = 3/4

Answer 4

The second one opens to the right. It's vertex is also (0,0). This time 4p=8 so p = 2 so the focus is (2,0) and the directrix is the vertical line x = -2