Quick Review Sheet Math 1314 Symmetry the graph of y = f(x ? d) is the graph of y = f(x) shifted right d units; Algebraic Test of Symmetry the graph of y = f(x + d) is the graph of x-axis: If replacing y with ?y produces an y = f(x) shifted left d units. equivalent equation, then the graph is symmetric with respect to the x-axis. Reflections y-axis: If replacing x with ?x produces an Across the x-axis: The graph of y = -f(x) is equivalent equation, then the graph is symmetric the reflection of the graph of y = f(x) across with respect to the y-axis. the x-axis. Origin: If replacing x with ?x and y with ?y pro- Across the y-axis: The graph of y = f(-x) is
Algebra Quick Review
Quick Review Sheet Math 1314 Symmetry the graph of y = f(x ? d) is the graph of y = f(x) shifted right d units; Algebraic Test of Symmetry the graph of y = f(x + d) is the graph of x-axis: If replacing y with ?y produces an y = f(x) shifted left d units. equivalent equation, then the graph is symmetric with respect to the x-axis. Reflections y-axis: If replacing x with ?x produces an Across the x-axis: The graph of y = -f(x) is equivalent equation, then the graph is symmetric the reflection of the graph of y = f(x) across with respect to the y-axis. the x-axis. Origin: If replacing x with ?x and y with ?y pro- Across the y-axis: The graph of y = f(-x) is
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