Find Amplitude, Period, and Phase Shift y=-6sin(x)

Problem

y=−6*sin(x)

Solution

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

2. Determine the value of A from the given equation y=−6*sin(x) Here, A=−6

3. Calculate the amplitude by taking the absolute value of A

Amplitude=|−6|=6

4. Determine the value of B from the coefficient of x In this case, B=1

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

Period=(2*π)/1=2*π

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

Phase Shift=0

Final Answer

Amplitude=6,Period=2*π,Phase Shift=0

Want more problems? Check here!