Once again, semantics - if you and frito care to be that pedantic, it is actually the extremely low
tip-to-Cueball contact point with the type of stroke that results in a noticeably extended follow thru...
And while I'm at it, Isaac Newton called and said don't ever forget the second derivative again...
It's acceleration - not speed.
Dale(somebody had to say it)
As others have also pointed out, PJ and Frio were correct, and your "correction" of that is incorrect. In regards to draw, accelerating or decelerating has no meaningful affect whatsoever, nor does follow through, or what your wrist is doing, the "type of stroke" you use (there is no such thing as different types of strokes as far as the balls are concerned), etc. For any given set of equipment (table, balls, cue), all that matters in regards to how much draw you can get is:
1) the speed of the stick at the moment of impact with the cue ball
2) how low you hit the cue ball
3) the angle of the stick
That's it. Nothing else you do makes any noticeable, meaningful or measurable difference whatsoever. None. However, variations in equipment can also affect how much draw you get such as:
4) the weight of the cue stick
5) the weight of the cue ball
6) the weight of the cue ball in relation to the weight of the object ball
7) the frictional properties of the cue ball (how friction free it is or isn't due to its smoothness or anything on it such as dirt, silicone spray, wax polish, etc)
8) the frictional properties of the table cloth (nap, dirt, how much wear it has, wetness/humidity, etc)
9) the rail properties (profile, composition, covering, etc) since a cue ball with very much draw will end up hitting one or more rails
For full disclosure and just to be very technically correct on some things that make no practical difference at all (and this may only be important to the physicists out there), things like accelerating/decelerating, the weight/mass of your stroking arm, how tightly you grip the cue, how dirty or "unsmooth" the object ball is and possibly a thing or two else may minutely change how much draw you can get by some stupidly small amount that could never be noticed or probably even measured (there would be no way to discern the one thousandth of an inch or whatever stupidly small difference in draw distance one of these things caused). For all practical purposes nothing comes even remotely close to making any real world difference whatsoever aside from the things numbered above.
Attempting to accelerate through the cue ball and following through after contact can however indirectly help in some other ways, namely with speed and accuracy which in turn can affect spin. They can help to ensure you are hitting with a fast speed (by definition if you are decelerating at contact you are certainly hitting at less speed than you could have, and probably less speed than you intended to), and faster cue speeds obviously translate into more spin (if you hit at less speed than you intended you will get less draw than you intended). Acceleration and follow through can also help with accuracy in helping to ensure you are hitting the cue ball exactly where you wanted to (instead of higher than you intended which would also result in less draw than you intended), but in and of themselves accelerating and following through do not in any way whatsoever contribute to more draw. Only the things numbered above do, and without making changes to equipment, the first three are all that matter and all that you have to worry about--cue speed, cue angle, and the contact point on the cue ball.