Question

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

Answer 1

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`= 2pi`. And, then completing one trough becomes zero ``x`= 3pi`. So, it had completed one revolutions , difference in `x` on both sides is `2pi`. Hence, the period is `2pi`.

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=asin(z)`, where `a` is the amplitude. Here the amplitude is 1!.

Graph-Refer.:
https://www.google.co.in/search?q=period+of+sin+x&oq=period+of+sin+x&aqs=chrome..69i57j69i60j0l4.4393j0j7&sourceid=chrome&ie=UTF-8#q=y+%3D+sin+(+x+%E2%88%92+%CF%80+)