y² - 4y - 2x - 4 = 0
+2x +4 +2x + 4
y² - 4y = 2x + 4
+4 +4
(y - 2)² = 2x + 8
-8 -8
(y - 2)² - 8 = 2x
[tex]\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}[/tex]
[tex]\frac{1}{2}[/tex](y - 2)² - 4 = x
x = [tex]\frac{1}{2}[/tex](y - 2)² - 4
Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)
