f(x) = (x 1)(x 2)(x + 1). a. State the coordinates of the point at

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f(x) = (x − 1)(x − 2)(x + 1).

a. State the coordinates of the point at which the graph y = f(x) intersects the y-axis.

b. The graph of y = af(x) intersects the y-axis at (0, −4). Find the value of a.

c. The graph of y = f(x + b) passes through the origin. Find three possible values of b.

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