Parabola for Golf Ball Roll on Green

Hello,

I'm having a hard time coming up with a formula for showing how a golf ball will "roll" on a sloped green.

For example, assume there is a right to left break of 1 degree and the ball is hit straight. The ball will end up on a path that is exactly 10 degrees to the left of the hole.

I need a formula so that the line will start at the center of the golf ball and pass through a point 10 degrees left of the hole (with a curve, not a straight line)

Any help is appreciated.

Thanks