Lsit the intercepts and test for symmetry.
y^2 - x - 4 = 0
I got (-4,0) and (0,2) for the intercepts.
-y^2 - x - 4 = 0 Is not symmetrical to the x axis, correct?
y^2-(-x) - 4 = 0 Is not symmetrical to the y axis, correct?
-y^2 + x - 4 = 0 Is not symmetrical to the origin, correct?