# Graph Symmetry **A graph** on the real plane **can have the following symmetries**: - Symmetry **about a point** - Special case of this is symmetry about the origin - Symmetry **about a line** - Special case of this is symmetry about the $x$ and $y$ axes - Another special case is symmetry about the line $x=y$, in which case a function has an [[Inverse (in Algebra)]]. A function is said to have ***even symmetry* if its graph is symmetrical about the $y$-axis**. ^kbz2ya Similarly, a function is said to have ***odd symmetry* if its graph is symmetrical about the origin**. In this case the graph **looks the same when it is turned upside down**. ^7ca4th