224,575 views
8 votes
8 votes
Please find amplitude period and phase shifty=sin(2x-pi/2)

User Graham Leggett
by
2.2k points

1 Answer

24 votes
24 votes

For the sinusoidal function:


y=A\sin (Bx+C)+D

we have that:

A represents the amplitude

2pi/B represents the Period

C is the phase shift

D is the vertical shift.

In this case, we have the following equation:


y=\sin (2x-(\pi)/(2))

then, the amplitude is A = 1.

For the period, we have the following:


\begin{gathered} B=2 \\ \Rightarrow(2\pi)/(B)=(2\pi)/(2)=\pi=\text{Period} \\ \end{gathered}

thus, the period is pi.

Finally, notice that C = -pi/2, thus, the phase shift is -pi/2

User VNext
by
3.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.