transformationsofgraphs

transformationsofgraphs - Transformations of Graphs Shifts...

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Unformatted text preview: Transformations of Graphs Shifts For c>0, to obtain the graph of: f(x)+c f(x)-c f(x+c) f(x-c) shift shift shift shift the the the the Stretches and compressions For c>1, to obtain the graph of: stretch cf(x) compress (1/c)f(x) compress f(cx) stretch f(x/c) Reflections To obtain the graph of: -f(x) f(-x) graph graph graph graph of of of of f(x) f(x) f(x) f(x) the graph of f(x) the graph of f(x) the graph of f(x) the graph of f(x) reflect the graph of f(x) reflect the graph of f(x) upward c units downward c units left c units right c units vertically by a factor of c vertically by a factor of c horizontally by a factor of c horizontally by a factor of c about the x-axis about the y-axis ...
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