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What is the amplitude, period, and phase shift of f(x) = −5 sin(x + 2π) − 4? 1. Amplitude = −5; period = π; phase shift: x = 2π 2. Amplitude = 5; period = 2π; phase shift: x = 2π 3. Amplitude = −5; period = π; phase shift: x = −2π 4. Amplitude = 5; period = 2π; phase shift: x = −2π

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whitneytr12

Answer:

  1. Amplitude is -5
  2. Period is 2π
  3. phase shift is -2π

Step-by-step explanation:

We can write a general wave function equation as:

[tex]f(x)=Asin(Bx+C))+D[/tex]    

Where:

  • A is the amplitude .
  • 2π/B is the period
  • C  is the phase shift    
  • D is the vertical shift

Our equation is:

[tex]f(x) = -5sin(x+2\pi)-4[/tex]  

Hence, comparing both equation we will conclude:

  1. Amplitude is -5
  2. Period is 2π
  3. phase shift is 2π

I hope it helps you!

             

                                         

Answer:

Amplitude = 5; period = 2π; phase shift: x = −2π

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