Notice that the given wave shows two types of wave behavior. There are tight, little waves, but these are layered on top of a broader, wider wave. If we can describe both of these wave behaviors, one would hope that adding them together will produce the given wave.

The smaller waves undulate three times as fast as the normal wave, so we will need to use the wave manipulator that compresses by 3. If you look closely, you will also notice that the peaks and valleys of the little waves have been shifted to the right by 1, so we will use the shift by 1 wave manipulator with the compress by 3 wave manipulator.

This leaves the shift by 2 wave manipulator to be used on the larger wave. If you compare the overall shape of the given wave to those produced by the stretching wave manipulators, you will see that this shape corresponds with a wave that has been stretched by a factor of 2. Thus, we need to use the stretch by 2 wave manipulator with the shift by 2 wave manipulator.

Adding both waves together produces the given wave.