Question

HELP FAST
Which equation is a parabola with a focus of (2,2) and a directrix of Y=4.

Answer 1

If (x,y) is any point on the parabola, then it will be equidistant from the focus and the directrix.
(x-2)^2 + (y-2)^2 = (y-4)^2
(x-2)^2 = (y-4)^2 - (y-2)^2
= (y-4+y-2) * (y-4-y+2)
= (2y-6)(-2)
= -4(y - 3)

\(\Large y = -\frac 14(x-2)^2 + 3 \)

Answer 2

TY!!!! @aum

Answer 3

You are welcome.