Answer
The graph is NOT symmetrical about the x - axis.
The graph is NOT symmetrical about the y - axis.
The graph is symmetrical about the origin.
Work Step by Step
xy = -2
Replacing the x with -x changes the equation,so the graph is not symmetrical about the y-axis.
Replacing the y with -y changes the equation,so the graph is not symmetrical about the x-axis.
Replacing the x,y with -x, -y does not change the equation,so the graph is symmetrical about the origin.