or 
. You should simply work these
graphs out one step at a time, concerning yourself first with the affect of
C and D, then the affect of the presence of A, and
finally the affect of B on this problem.
We now have seen four ways to alter the graph of a sine or cosine function:
vertical translation, vertical scaling, horizontal translation, and horizontal
scaling. Note that some or all four of these can be applied to a function
at once in the sense that you may have to deal with a function of the form
or . You should simply work these
graphs out one step at a time, concerning yourself first with the affect of
C and D, then the affect of the presence of A, and
finally the affect of B on this problem.
An example is in order here to close out this lengthy discussion on graphing sine and cosine functions.