Question

What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).

Answer 1

did you try to make a sketch?

Answer 2

yes but I don't know how to make the equation

Answer 3

is the parabola going to be vertical or horizontal?

Answer 4

vertical?

Answer 5

good. So which of the following equations is used?
(x-h)^2 = 4p(y-k) or (y-k)^2 = 4p(x-h)

?

Answer 6

I think its the first one but I'm sure

Answer 7

yes it's the first one. If the x is being squared, the it's vertical, and if the y is being squared, it's horizontal. So we have decided that we are going to use

(x-h)^2 = 4p(y-k). All we need to do now is to find the values of h,k, and p yes?

Answer 8

okay. can you tell me how to find them?

Answer 9

What is (h,k) called?