JoeleneR372493 JoeleneR372493
  • 25-10-2022
  • Mathematics
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Which of the following functions has an amplitude of 3 and a phase shift of pi over 2 question mark

Which of the following functions has an amplitude of 3 and a phase shift of pi over 2 question mark class=

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TayaJ713059 TayaJ713059
  • 25-10-2022

Remember that f(x) = A f(Bx-C) +D

Where |A| is the Amplitude and C/B is the phase Shift

Options

A, B C all have amplitudes of |3| so we have just eliminated D with the amplitude

We need a phase shift of C/B = pi/2

A has Pi/2

B has -Pi/2

C has pi/2 /2 = pi/4

Choice A -3 cos ( 2x-pi) +4 has a magnitude of 3 and and phase shift of pi/2

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