Answer
Symmetric to x-axis only.
Work Step by Step
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
(-x)$y^{2}$=-10
x$y^{2}$=10
Equations are not equivalent, so not symmetric to y-axis.
Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis.
x$(-y)^{2}$=-10
x$y^{2}$=-10
Equations are equivalent, so function is symmetric to x-axis.
Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin.
(-x)$(-y)^{2}$=-10
x$y^{2}$=10
Equations are not equivalent, so not symmetric to origin.
