Answer
Symmetric to origin only
Work Step by Step
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
(-x)y=4
xy=-4
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)=4
xy=-4
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)=4
xy=4
Equations are equivalent, so function is symmetric about the origin.
