Find Amplitude, Period, and Phase Shift y=3sin(1/4x)

Problem

y=3*sin(1/4*x)

Solution

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

2. Determine the value of A to find the amplitude. In this equation, A=3

3. Calculate the amplitude using the formula Amplitude=|A|

4. Determine the value of B to find the period. In this equation, B=1/4

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

6. Determine the value of C to find the phase shift. Since there is no horizontal shift inside the sine function, C=0

Final Answer

Amplitude=3

Period=8*π

Phase Shift=0

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