Question 12: (3 points) Consider the function f (x) = 3sin (2 (x - 4)) + 5. State the amplitude A, period P, and midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and minimum y-values and their corresponding c-values. Enter the exact answers. Amplitude: A = Period: P = Midline: y = The phase shift is The vertical translation is Hints for the maximum and minimum values of f (I) : The maximum value of y = sin (x) is y = 1 and the corresponding a values are x = , and multiples of 2 7 less than and more than this a value. You may want to solve ? (1 - 4) = . The minimum value of y = sin (x) is y = -1 and the corresponding a values are X = ," and multiples of 2 7 less than and more than this I value. You may want to solve , (x - 4) = 3 TT 2 2 . If you get a value for a that is less than 0, you could add multiples of P to get into the next cycles. . If you get a value for a that is more than P, you could subtract multiples of P to get into the previous cycles. For x in the interval [0, P], the maximum y-value and corresponding a-value is at: y = For a in the interval [0, P], the minimum y-value and corresponding -value is at: C = y =