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Symmetry comes from a Greek word meaning 'to measure together' and is widely used in the study of geometry. Mathematically, symmetry means that one shape becomes exactly like another when you move it in some way: turn, flip or slide.
Because of this correspondence between the symmetry of the graph and the evenness or oddness of the function, symmetry in algebra is usually going to apply to the y-axis and the origin. 1  For each of the following graphs, list any symmetries, and state whether the graph shows a function.