Manipulating Surface without lifting up the edges

Hi All,

Happy Tuesday! I have rather a simple question…wondering if there is a way to manipulate the surface without lifting up the edges. So far, I’ve tried points on, cage edit, soft edit surface. All of the commands I tried have been unsuccessful, I have attached a reference photo for your insight and input.

Thank you all!

If it’s a degree 3 surface, you’ll need to add UV Curves near the surface edge.
When you’re moving control points, leave the last two rows of points near the edge unmolested so the surface edge stays put.

http://help.mcneel.com/en/rhino/5/level1/06-point-editing