Question

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).

Answer 1

ok... so the focus is above the vertex so the parabola is concave up.

do you know the focal length...?

Answer 2

9?

Answer 3

@campbell_st

Answer 4

jello?

Answer 5

ok... so a vertex form for the parabola is

(x - h)^ = 4a(y - k) (h, k) is the vertex and a is the focal length

you know the vertex is (0,0) so you have

x^2 = 4ay

substitute the focal length to get the equation

Answer 6

but that wasn't an option

Answer 7

jk... so the answer would be.....1/36x^2=y? @campbell_st

Answer 8

yes, thats my best guess.. well its not really a guess

Answer 9

thank you!

Answer 10

glad to help