I wasn't long into my career when teaching his type of shooting was discontinued in my agency but in essence it is what we were taught. Basically you drew from the holster, raised the pistol upwards on about a 45 degree angle (to where she has it when her elbow is bent) and when you got it at about eye level you sort of threw it out toward your target just as the
You can see this sort of a thing in some old cowboy and or detective movies and if you are lucky you might see it in old footage taken at a police range. I saw it a lot, on the range, at work . It was almost always the preferred way of drawing and shooting with the old timers back then; that was in the early 1980s. It does not work very well and what it mostly does is causes you to shoot like crap if you shoot as soon as your arm is extended, otherwise it makes you take longer to shoot good because you pretty much need to wait for your hand to stop bobbing up and down to get on target.
I think that drawing and immediately punching the pistol out toward your target and up toward eyelevel (or just below for fairly close in point shooting) in one smooth move is the way to go, that of course being if there is enough distance between you and your assailant. Otherwise, draw and shoot from the hip if your assailant is within easy reaching distance of your firearm. Hip shooting requires lots of practice folks, and stance makes a lot of difference with it, so don't plan on hip shooting in a real self defense situation unless you practice it first and only do that after someone trains you in how to properly perform it in the first place. Hip shooting can be a good remedy for preventing a takeaway. Remember my recent post in which I said you never want to offer your pistol to your opponent for an easy takeaway.
All the best,