Find Amplitude, Period, and Phase Shift y=3sin(x-1)

Problem

y=3*sin(x−1)

Solution

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

2. Determine the value of A to find the amplitude. The amplitude is |A|

|A|=|3|=3

3. Determine the value of B to find the period. The period is calculated using the formula (2*π)/|B| In this equation, B=1

Period=(2*π)/1=2*π

4. Determine the value of C to find the phase shift. The phase shift is C In the expression (x−1) C=1

Phase Shift=1

Final Answer

Amplitude: *3, Period: *2*π, Phase Shift: *1

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