Create ease for mesh wraps

I just tried using mesh wraps for conplex hair movements and it was pretty good. But is there a way to add ease to the movements created by the mesh wrap?

The X and Y axis along with width and height can be assigned a
bezier. It’s easier if you set the path to 2D Path so that you can select
the velocity editor to assign the eases in the 2D Path editor.

Otherwise you can select the function curve next to the staircase icon
(it’s a drop-down menu). This will set the ease between the two keyframes
that you make in the function graph. Note that the “S” shaped curves are
functions with ease-in, ease-out.