Question

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.
https://i.gyazo.com/3a74217c9b4bc16836574bddf8afe2c0.png

Answer 1

the curve passes through the origin and as the focus is negative it opens downwards

standard form of this type is

x^2 = 4ay where a = focus

so can you work it out?

Answer 2

ok give me sec

Answer 3

am i plugging in -2?

Answer 4

yes I should have said a = y-coordinate of the focus

Answer 5

ok

Answer 6

x^2 = 4(-2)y
x^2 = -8y

Answer 7

ok so far
the standard form is y =

Answer 8

so divide both sides by -8

Answer 9

y = (x^2)/-8

Answer 10

yea thats ok but its usually written as