a. Sketch the curve y = f(x) where f(x) = (x 1)(x + 2). b. On

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a. Sketch the curve y = f(x) where f(x) = (x − 1)(x + 2).

b. On separate diagrams sketch the graphs of 

i. y = f(x + 2) 

ii. y = f(x) + 2.

c. Find the equations of the curves y = f(x + 2) and y = f(x) + 2, in terms of x, and use these equations to find the coordinates of the points where your graphs in part b cross the y-axis.

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