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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