For the function: y = sin (x) the graph crosses the x axis 3 times from 0 to $\displaystyle 2\pi$
$\displaystyle 2\pi$ = 360 degrees
For y = sin (x) - .6 the graphs shifts down .6 which makes decreases the area above the x axis and increases the area below the x axis and in turn changes where it intersects the x axis. Look at the attached graph and see if it helps.