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

Problem

y=1/4*sin(x)

Solution

1. Identify the standard form of the trigonometric function y=A*sin(B*(x−C))+D where A is the amplitude, the period is (2*π)/|B| and C is the phase shift.

2. Determine the value of A from the given equation y=1/4*sin(x)

Amplitude=|A|=1/4

3. Determine the value of B to calculate the period. In this equation, B=1

Period=(2*π)/|B|=(2*π)/1=2*π

4. Determine the value of C to find the phase shift. Since there is no horizontal shift added or subtracted from x C=0

Phase Shift=0

Final Answer

Amplitude=1/4,Period=2*π,Phase Shift=0

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