There are three types of symmetry:

1. X-Axis Symmetry

2. Y-Axis Symmetry

3. Origin Symmetry

If exists on the graph, then the graph is symmetric about the:

1. X-Axis if exists on the graph

2. Y-Axis if exists on the graph

3. Origin if exists on the graph

Check if the graph is symmetric about the x-axis by plugging in for .

Since this equation is not identical to the original equation, it is not symmetric to the x-axis.

Not symmetric to the x-axis

Check if the graph is symmetric about the y-axis by plugging in for .

Since the equation is not identical to the original equation, it is not symmetric to the y-axis.

Not symmetric to the y-axis

Check if the graph is symmetric to the origin by plugging in for and for .

Since the equation is identical to the original equation, it is symmetric to the origin.

Symmetric to the origin

Since only exists on the graph, the equation is symmetric to the origin.

Symmetric with respect to the origin

Find the Symmetry xy=3