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

Problem

y=sin(−3*x)

Solution

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

2. Determine the values of the constants from the given equation y=sin(−3*x) where A=1 B=−3 C=0 and D=0

3. Calculate the amplitude using the formula |A|

Amplitude=|1|=1

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

Period=(2*π)/|−3|=(2*π)/3

5. Determine the phase shift using the value of C Since there is no horizontal shift inside the argument, the phase shift is 0.

Phase Shift=0

Final Answer

Amplitude=1,Period=(2*π)/3,Phase Shift=0

Want more problems? Check here!