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1. The function y=x^3 has undergone the following sets of transformations. If y=x^3 passes through the points (1,1), (3,27) and (4,64), list the coordinates of these transformed points on each new curve.

a) reflected in the y-axis, horizontally stretched by factor of 2, vertically translated 2 units up


b) Vertically compressed by a factor of 1/2, horizontally stretched by a factor of 4, and vertically translated 6 units down



c)Horizontally streched by a factor of 3, horizontally translated 3 units to the left, and vertically translated 3 units down.



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