a. Sketch the graph of y = f(x) where f(x) = x 2 (1 x). b.

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a. Sketch the graph of y = f(x) where f(x) = x2(1 − x).

b. Sketch the curve with equation y = f(x + 1).

c. By finding the equation f(x + 1) in terms of x, find the coordinates of the point in part b where the curve crosses the y-axis.

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