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

Problem

y=4*sin(x)

Solution

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

2. Determine the value of A which represents the amplitude. Here, A=4

3. Determine the value of B which is the coefficient of x Here, B=1

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

5. Substitute B=1 into the formula to get P=(2*π)/1=2*π

6. Identify the phase shift C Since there is no horizontal shift added or subtracted from x C=0

Final Answer

Amplitude=4,Period=2*π,Phase Shift=0

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