Find Amplitude, Period, and Phase Shift y=2sin(3x)

Problem

y=2*sin(3*x)

Solution

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

2. Determine the value of A to find the amplitude. Here, A=2

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

Amplitude=|2|=2

4. Determine the value of B to find the period. Here, B=3

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

Period=(2*π)/3

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

7. Calculate the phase shift using the formula Phase Shift=C

Phase Shift=0

Final Answer

Amplitude=2,Period=(2*π)/3,Phase Shift=0

Want more problems? Check here!