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Which transformations are needed to change the parent cosine function to the cosine function below?

Answer:

Answer is D

Step-by-step explanation:

Did it on Edge

The transformations are needed to change the parent cosine function to the cosine function is

Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.

and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

So, vertical stretch of 2 and horizontal compression to a period π/2.

Now, the phase shift to π unit left and vertical shift of 1 unit down.

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