a. Sketch the graph of y = f(x) where f(x) = x(x 4). b. Sketch the

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a. Sketch the graph of y = f(x) where f(x) = x(x − 4).

b. Sketch the curves with equations y = f(x + 2) and y = f(x) + 4.

c. Find the equations of the curves in part b in terms of x and hence find the coordinates of the points where the curves cross the axes.

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