I'm having some trouble figuring out how to find the symmetries, horizontal asymptote, max and min and inflection points on y=x2/1-x2.

Iv'e already found out the horizontal asymptote and the x and y intercepts, but am stuck on the rest. Can anybody give some pointers on how to figure this one out. (I have to find all of this so I can graph it).

Thank you in advance.