Question: Consider the functionf (x) = 4sin ( /4 (x 3) ) + 8.State the amplitude A, periodP, and midline.State the phase shift and vertical translation.

Consider the functionf (x) = 4sin ( /4 (x 3) ) + 8.State the amplitude A, periodP, and midline.State the phase shift and vertical translation. In the full period[0,P], state the maximum and minimumy-values and their correspondingx-values.

Enter the exact answers.

Amplitude:A = 4

Period:P = 8

Midline:y = 8

The phase shift is 3 units to the right

The vertical translation isup 8 units

Forxin the interval [0,P], themaximumy-value and correspondingx-value is at:

x = ______

y = 12

Forxin the interval [0,P], theminimumy-value and correspondingx-value is at:

x =______

y = 4

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