Taking a lesson on maximizing one's draw through an instructor's eyes will improve your draw power and your accuracy. There are different advance strokes when drawing the rock under different circumstances. In most instances, it would take a level continuous smooth follow through shot given enough room between the object ball to the cue ball. In some cases it may take a punch stroke. Other times one may get jacked up by raising the butt end of the cue.
All shots have their place under certain conditions.
When addressing the cue ball, make sure to get the cue tip as close as you possibly can with touching it to accurately locate the impact point of the ball easier. The accuracy will prove itself by the response. Test shooting shots at different speed with different elevation of the tip to get muscle memory and knowledge of each and every shot. Trying too hard to get that extra draw powering the shot generally does not cut the cheese. Relax and let the cue stick do most of the work for you.