a) Given the graph of y = f (x), graph the functions y = -f (x) and y = f (-x).
b) Show the mapping of key points on the graph of y = f (x) to image points on the graphs of y = -f (x) and y = f (-x).
c) Describe how the graphs of y = -f (x) and y = f (-x) are related to the graph of y = f (x). State any invariant points.
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