The following diagram shows a sketch of the curve with equation y = f(x). The points A(0,

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The following diagram shows a sketch of the curve with equation y = f(x). The points A(0, 2), B(1, 0), C(4, 4) and D(6, 0) lie on the curve.


Sketch the following graphs and give the coordinates of the points, A, B, C and D after each transformation:


a. f(x + 1) 


b. f(x) − 4 


c. f(x + 4)


d. f(2x) 


e. 3f(x) 


f. f(1/2x)g. 1/2f(x) 


h. f(−x)


image

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