Answer
It is X Axis Symmetrical.
Work Step by Step
X=y^4-y^2
Check for X Axis symmetry - Change the y's to negative. X= (-y)^4-(-y)^2. Because the exponents are even they will become postive therefore the same equation.
Check for Y Axis symmetry - Change the x to negative. -X=y^4-y^2 The equation does not remain the same.
Check for origin symmetry. Change the x and y's to negative. -x= (-y)^4-(-y)^2 The equation does not remain the same.
The only symmetry it has is through the X Axis.