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

Problem

y=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 values of the constants from the given equation y=sin(1*(x−π/4))

3. Extract the amplitude by taking the absolute value of the coefficient A where A=1

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

5. Identify the phase shift from the constant C which represents the horizontal displacement.

Final Answer

Amplitude=1

Period=2*π

Phase Shift=π/4

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