1. Symmetry Smoke and mirrors

2. Types of Symmetry  X-axis symmetry  Y-axis symmetry  Origin symmetry

3. X-axis Symmetry  If both (a,b) and (a,-b) are on the graph.  A graph will have symmetry about the x-axis if we get an equivalent equation when all the y’s are replaced with -y.  Basically if the graph is mirrored over the x-axis then it is x-axis symmetry.

4. Y-axis Symmetry  If both (a,b) and (-a,b) are on the graph.  A graph will have symmetry about the y-axis if we get an equivalent equation when all the x’s are replaced with -x.  Basically if the graph is mirrored over the y-axis then it is y-axis symmetry.

5. Origin Symmetry  If both (a,b) and (-a, -b) are on the graph  The graph will have origin symmetry if all the x’s where replaced with –x, then the y’s would become –y.  Basically if the image is rotated about the origin 180 ⁰, then it has origin symmetry.