Find Amplitude, Period, and Phase Shift f(x)=-2sin(x-pi)

Problem

ƒ(x)=−2*sin(x−π)

Solution

1. Identify the standard form of the trigonometric function ƒ(x)=a*sin(b*(x−h))+k

2. Determine the parameters from the given function ƒ(x)=−2*sin(1*(x−π))

3. Extract the values a=−2 b=1 and h=π

4. Calculate the amplitude using the formula Amplitude=|a|

|−2|=2

5. Calculate the period using the formula Period=(2*π)/|b|

(2*π)/1=2*π

6. Identify the phase shift as the value of h

h=π

Final Answer

Amplitude=2,Period=2*π,Phase Shift=π

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