Find Amplitude, Period, and Phase Shift y=1/2*sin(x-pi/4)

Problem

y=1/2*sin(x−π/4)

Solution

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

2. Determine the amplitude by taking the absolute value of the coefficient A where A=1/2

3. Calculate the period using the formula P=(2*π)/|B| where B=1

4. Identify the phase shift from the value of C in the expression (x−C) where C=π/4

Final Answer

Amplitude=1/2,Period=2*π,Phase Shift=π/4

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