Answer
Symmetric to origin
Work Step by Step
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
(-x)y-$\sqrt (4-$$(-x)^{2})$=0
-xy-$\sqrt (4-$$x^{2})$=0
Equations are not equivalent, so not symmetric to y-axis.
Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis.
x(-y)-$\sqrt (4-$$x^{2})$=0
-xy-$\sqrt (4-$$x^{2})$=0
Equations are not equivalent, so not symmetric to x-axis.
Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin.
(-x)(-y)-$\sqrt (4-$$(-x)^{2})$=0
xy-$\sqrt (4-$$x^{2})$=0
Equations are equivalent, so function is symmetric to origin.
