Question 712284
If it was symmetrical with respect to the x-axis, then replacing each 'y' with '-y' should have no effect on the outcome


x^2+xy^2+2y=1


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


x^2+xy^2-2y=1 ... notice the change


Since there's a change, the first and last equations are NOT the same. So x^2+xy^2+2y=1 is NOT symmetric with respect to the x-axis


Similarly, if you replace each x with -x, you go from x^2+xy^2+2y=1 to x^2-xy^2+2y=1, which changes. So x^2+xy^2+2y=1 is NOT symmetric with respect to the y-axis 



Because it's not symmetric with respect to either axis, it's NOT symmetric with respect to the origin



So it looks like none of the answer choices are correct. So there has to be something missing or there must be a typo somewhere. Please double check. Thanks.