Given that y = x 2 , find the image of the curve y = x 2

Question:

Given that y = x2, find the image of the curve y = x2 after each of the following combinations of transformations.

a. A stretch in the y-direction with factor 3 followed by a translation by the vector 

b. A translation by the vector


followed by a stretch in the y-direction with factor 3

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