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Setch the graphs of the following functions by hand using

Describe the transformations in each graph.

Sketch the graphs of the following functions by hand, using transformations. Show your work (show how the transformations map from the base function to the transformed function) for the graph in addition to listing the information.

Graph values from 0 ≤ x ≤ 2π .

a) f(x) = -2cos (3x- π/3) + 1/2

b) f(x) = 1/4sin (1/2x + π) - 3

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Mathematics: Setch the graphs of the following functions by hand using

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Q : Setch the graphs of the following functions by hand using