8. Calvin is doing his trigonometry homework, and is supposed to graph sin(2x ), using his knowledge of the graph of sinx. He sees the answer on his graphing calculator, but is trying to understand how it comes from graphing transformations. He tries horizontally compressing the graph of sin x by 2 and shifting right by %, but it gives the wrong graph. (a) If we actually did the sequence of graphing transformations that Calvin contemplated, what function would we be graphing? (b) If we tried to graph sin(2x g) using a compression followed by a shift, by what amount should we shift? Explain clearly. (c) Hobbes takes pity on Calvin, and points out that Calvin could graph sin(2x %), rst with a horizontal shift, and then a horizontal compression. By what amount should Calvin shift? Explain clearly