Look in your text for a graph involving sin(1/x); this will give you an idea of the general shape. Now, what happens when you change the argument to sine (stuff in parentheses) from 1/x to pi/2x (multiplying it by a constant). Graph that difference (draw it freehand, in general, just to get your transformation on paper — don’t worry about hitting exact values, as long as you know where they’re supposed to be).

Now, what happens when you multiply that sine value by 2? Draw that graph next, again being generally sloppy (you’re using scratch paper for these). Finally, what happens to the graph when you add 3 to everything at the end (just before you raise your hand to tell the teacher you know the value of y)? Draw that sloppily. Label 3 or 4 critical points that catch your fancy.

With all that done, it’s time to get the sheet you’re going to hand in, and redraw that last graph on your homework. Keep in mind how each of these transformations changed the graph: some spread it sideways, some vertically. Some shifted it left or right, up or down. Get to know them; they’re your new friends (until the next chapter, when they’ll be rather bored with you — and the feeling will be mutual, I’m sure).