Question

How do you graph `y = (1/2)sin(x - pi)`?

Answer 1

What you must first do is plug specific values of x into the function `f(x)=sin(x-pi)` to produce the results 0, 1, 0, -1, 0. Once you've done this, plot the graph `f(x)=sin(x-pi)`. You should have desirable x and y coordinates.

Once you have the graph `f(x)=sin(x-pi)`, you simply have to produce another graph similar to it but with the appropriate adjustments.

What you want to do is multiply the y coordinates of your `f(x)=sin(x-pi)` graph by 1/2. If you do this you'll end up with new coordinates that you must use in your `f(x)=1/2sin(x-pi)` graph...

Your final graph should look similar to this...

You can see if my work is correct by taking a glance at the graph below...

graph{1/2sin(x-pi) [-6.58, 13.42, -4.52, 5.48]}