AS for moving and transforning one simple shape?

Hey there… i have this simple simple simple shape that i want to transform over time… in a simple way.
and in my movie,. i have like over 20 of these! and they all transform into a slightly different shape that the one i have illustrated in this file,… But i am looking for a little bit of help, or a little bit of hellp looking for what i need to be searching for. I have searched my books, and forums, but havent been able to come up with the right keywords to fit the problem.

Let me know if you have any ideas?

-Jeremy :tb: