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Consider the function f{a:) 2251121 (737 (ac4]) +6. State the amplitude A. period P. and midline. State the phase shift and vertical translation. In the
Consider the function f{a:) 2251121 (737 (ac4]) +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 yvalues and their corresponding xvalues. Enter the exact answers. Amplitude: A = 2 Period: P = 6 d1 g1 Midline: y = The phase shift is The vertical translation is Hints for the maximum and minimum values of f (at): - The maximum value of y = sin (:3) is y = 1 and the corresponding :3 values are a: = g and multiples of 2 7r less than and more than this a: value. You may want to solve 7; (a: 4] = g. 0 The minimum value of y = sin (1:) is y = 1 and the corresponding 3 values are x = 3 11' and 2 multiples of 2 7r less than and more than this a: value. You may want to solve E (a: 4] = 3. 3 I If you get a value for :1: that is less than 0. you could add multiples of P to get into the next cycles. I If you get a value for x that is more than P._ you could subtract multiples of P to get into the previous cycles. For a: in the interval [0. P]. the maximum yvalue and corresponding zitvalue is at: y = For a in the interval [0, P], the minimum y-value and corresponding x-value is at: T= y=
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