Above is the Delta 622 single handle tub and or shower faucet. This faucet does not have any type of scald guard protection or balance control protection, It would not be legal to install this faucet in a new home with the current safety codes. This is a simple faucet to repair as long as the nut is not stuck.
All you need to repair the Delta 622 Tub and shower faucet is pictured above and written in these
Delta shower faucet repair instructions.
I recommend replacing the ball seen on the left side of the image, remember you can click on any image to see a larger image. The red tin is plumbers grease, do not use any other type of grease on any plumbing fixture. next to the grease is a repair kit for the faucet.
Some kits come with a new ball and some don't. this is what is inside the kit
First things first, TURN OFF THE MAIN WATER VALVE. then if possible open a faucet at a lower elevation to keep water that may get past the valve from leaking out of this faucet when you are repairing it. Then remove the button.
As you can see there is a screw behind the button this screw holds the handle on.