College Algebra Question?

Question

Find the vertex, the focus, and the directrix of the parabola.

y to the 2nd power + 4x - 4y + 0 = 0

I'm not sure if my work is correct, so shown work would be great. Thanks.

Answer 1

y^2 - 4y + 4 = -4x + 4
(y-2)^2 = -4(x-1)
(x-1) = -1/4(y-2)^2

vertex = (1,2)
focus = (0,2)
directrix = x = 2