Find Amplitude, Period, and Phase Shift y=8sin(x)

Problem

y=8*sin(x)

Solution

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

2. Determine the amplitude by taking the absolute value of the coefficient A where A=8

|A|=|8|=8

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

P=(2*π)/1=2*π

4. Find the phase shift by identifying the horizontal displacement C Since there is no value subtracted from x C=0

Phase Shift=0

Final Answer

Amplitude=8,Period=2*π,Phase Shift=0

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