Consider the function f(2)=4sin ((2-3)) +6. State the amplitude A, period P, and midline. State the...

 

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Consider the function f(2)=4sin ((2-3)) +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 2-values. Enter the exact answers. Amplitude: A Number Period: P = B Midline: y Number = The phase shift is ki The vertical translation is c a Hints for the maximum and minimum values of f (2): • The maximum value of y= sin (z) is y= 1 and the corresponding z values are 2 = multiples of 2 x less than and more than this 2 value. You may want to solve (2-3) = π • The minimum value of y = sin (2) is y=-1 and the corresponding z values are z = 3 and multiples of 2 * less than and more than this 2 value. You may want to solve (2-3) = ³7 2= T sin(a) 2 y= • 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 that is more than P, you could subtract multiples of P to get into the previous cycles. For 2 in the interval [0, P], the maximum y-value and corresponding 2-value is at: # Va 2 Va A -- # = nainte) न Ⓡ sin (a) 4 M For 2 in the interval [0, P], the minimum y-value and corresponding z-value is at: sin (4) m + m 0 m @ m 31 • & & and & Consider the function f(2)=4sin ((2-3)) +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 2-values. Enter the exact answers. Amplitude: A Number Period: P = B Midline: y Number = The phase shift is ki The vertical translation is c a Hints for the maximum and minimum values of f (2): • The maximum value of y= sin (z) is y= 1 and the corresponding z values are 2 = multiples of 2 x less than and more than this 2 value. You may want to solve (2-3) = π • The minimum value of y = sin (2) is y=-1 and the corresponding z values are z = 3 and multiples of 2 * less than and more than this 2 value. You may want to solve (2-3) = ³7 2= T sin(a) 2 y= • 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 that is more than P, you could subtract multiples of P to get into the previous cycles. For 2 in the interval [0, P], the maximum y-value and corresponding 2-value is at: # Va 2 Va A -- # = nainte) न Ⓡ sin (a) 4 M For 2 in the interval [0, P], the minimum y-value and corresponding z-value is at: sin (4) m + m 0 m @ m 31 • & & and &

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The function given is fx 4sin2x 3 6 We can determine the various properties of this trigonometric function as follows 1 Amplitude A The amplitude is t... View the full answer