Graphing trig functions?

Question

I need help in breaking apart this problem so that I can properly graph it on my own:

sketch the graph of y= 2 sin (-2x+pi) +1 in the interval 0≤ x ≤ 2pi

I think that I need to factor out the -2, making the equation y= 2 sin -2(x-pi/2) +1

Any help would be appreciated. I know you can't necessarily graph but explanations would help. Please explain as thoroughly as possible so that I can learn the concept and complete similar problesm on my own. Thank you so much and 10 points to the best answer!

Answer 1

http://www.themathpage.com/atrig/graphs-...