# How do you find the period, amplitude and sketch y=sin(x-pi)?

Jun 12, 2017

Period= 2$\pi$ ;
Amplitude=1;
graph{sin(x-pi) [-10, 10, -5, 5]}

#### Explanation:

It is Simple!

Period:
Period is the complete revolution of a wave completing crest and followed by trough. So, for this sine function , the period is 2 $\pi$.
Because, it becomes zero at first  x$= \pi$, and then completing one crest, becomes zero at  x$= 2 \pi$. And, then completing one trough becomes zero  x$= 3 \pi$. So, it had completed one revolutions , difference in $x$ on both sides is $2 \pi$. Hence, the period is $2 \pi$.

Amplitude:
Next, we want to that this function attains a maximum value of 1 at both sides of $x$-axis. So, for every wave like function (here, sine function), the general equation is $y = a \sin \left(z\right)$, where $a$ is the amplitude. Here the amplitude is 1!.