y^2 + 4x - 8y - 4 = 0
y^2 - 8y = -4x + 4 complete the square on y
y^2 - 8y + 16 = -4x + 4 + 16
(y - 4)^2 = - 4x + 20
-4x + 20 = (y - 4)^2
-4( x - 5) = (y - 4)^2 multiply both sides by (-1/4)
x -5 = (-1/4)(y - 4)^2 add 5 to both sides
x = (-1/4)(y - 4)^2 + 5