1. 1.3Symmetry

2. A graph is said to be symmetric with respect to the x-axis if for every point (x,y) on the graph, the point (x,-y) is on the graph. x-Axis Symmetry

3. A graph is said to be symmetric with respect to the y-axis if for every point (x,y) on the graph, the point (-x,y) is on the graph. y-Axis Symmetry

4. A graph is said to be symmetric with respect to the origin if for every point (x,y) on the graph, the point (-x,-y) is on the graph. origin Symmetry

5. x-axis Replace y by -y in the equation. If an equivalent equation results, the graph is symmetric with respect to the x-axis. Tests for Symmetry y-axis Replace x by -x in the equation. If an equivalent equation results, the graph is symmetric with respect to the y-axis. origin Replace x by -xandy by -y in the equation. If an equivalent equation results, the graph is symmetric with respect to the origin.

6. Not symmetric with respect to the x-axis.

7. Symmetric with respect to the y-axis.

8. Not symmetric with respect to the origin.