Question

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

Answer 1

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

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Answer 2

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

Explanation:

We can write a general wave function equation as:

`f(x)=Asin(Bx+C))+D`

Where:

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

Our equation is:

`f(x) = -5sin(x+2\pi)-4`

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!