The rope needs to be clipped through the quickdraw so that the end of the rope attached to you comes out of the front side of the quickdraw. If you fall, the rope will stay clipped through the carabiner.
If you clip it the wrong way round, the rope could snap through the carabiner’s gate if you fall. This would unclip the rope from the carabiner. This is known as ‘back clipping’. If you’re belaying a leader, keep an eye out for them accidentally back clipping, and let them know if they have!