Why does your golf ball fade to the right?

Assuming you're a right-handed player, the ball goes left because either

1. you are pulling it, by coming across the target line from outside to inside with the clubface closed, or

2. you are hooking it, coming across the line from inside to outside with the clubface square or somewhat closed.

Actually, if you are coming from slightly inside and hitting it with a square clubface, that's a draw, and it's usually considered to be a good thing. The motion from right-to-left will be relatively gentle, and if you can learn to control it you can get Excellent carry and roll from that shot, as well as being able to bend it around obstacles.