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

Problem

y=sin(x−2)

Solution

1. Identify the standard form of the trigonometric function y=A*sin(B*(x−C))+D

2. Determine the amplitude by finding the absolute value of the coefficient A

|A|=|1|=1

3. Calculate the period using the formula P=(2*π)/|B| where B is the coefficient of x

B=1

P=(2*π)/1=2*π

4. Identify the phase shift by finding the value of C in the expression (x−C)

C=2

Final Answer

Amplitude=1,Period=2*π,Phase Shift=2

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