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Consider the function f (r) = 4sin (# (x - 5) ) + 6. State the amplitude A, period P, and midline. State the phase
Consider the function f (r) = 4sin (# (x - 5) ) + 6. 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 I-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 (I) is y = 1 and the corresponding a values are c = , and multiples of 2 7 less than and more than this a value. You may want to solve - (1 - 5) = ,- 3 1 2 The minimum value of y = sin (x) is y = -1 and the corresponding z values are I = " and multiples of 2 a less than and more than this z value. You may want to solve # (x - 5) = 2 . If you get a value for z that is less than 0, you could add multiples of P to get into the next cycles. . If you get a value for z 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 r-value is at: For x in the interval [0, P], the minimum y-value and corresponding -value is at: I y =
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