Tap and hold the shot label/club you wish to move. The label will disappear and be replaced by a target when you are holding down on the screen. Move the middle of the target to new a position on the course and release your finger to update the location of the shot. When you are happy with the location of the shot tap anywhere on the screen to deselect the shot, this will allow you to select another shot or move onto the next hole.
Another option is to use our "nudge" feature. You would tap on the shot you wish to edit. You can then use the plus and minus buttons to increase or decrease your yardage increments and then use the left, right, up and down arrows to move your shot along in those increments.