Question: Consider the function f (x) = 4sin (T (x - 3) ) + 8. State the amplitude A, period P, and midline. State the phase


Consider the function f (x) = 4sin (T (x - 3) ) + 8. 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 x-values. Enter the exact answers. Amplitude: A = Number Period: P = Midline: y = Number The phase shift is Click for List The vertical translation is Click for List Hints for the maximum and minimum values of f (a) : . The maximum value of y = sin (x) is y = 1 and the corresponding x values are * = 2 multiples of 2 7 less than and more than this a value. You may want to solve T. (x - 3) = 7. . The minimum value of y = sin (x) is y = -1 and the corresponding x values are 3 TC 2 and multiples of 2 7 less than and more than this a value. You may want to solve T (x - 3) = 3 7 2 . If you get a value for x that is less than 0, you could add multiples of P to get into the nex 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 x-value is at: y = For x in the interval [0, P], the minimum y-value and corresponding x-value is at: y =
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