Symmetric graph

Question

Decide whether the equation x²+y=10 has a graph that is symmetric with  to the x-axis, the y-axis, origin, or none of these. Explain.

Answer 1

y = 10 - x² is the grapl of a quadratic function, a parabola with vertex at (0,10), opening downwardly; symmetric w.r.t. the y-axis.  It's an EVEN function.