The basic basketball shot is simple and beautiful but by no means simplistic. As pointed out previously, everyone shoots the basketball differently. Yet, there is a general procedure that all good basketball shooters more or less follow.

*Half-bend your knees before shooting a basketball for more potential power

*Your dominant hand should have its fingers spread out

*Only the fingertips should be gripping onto the ball

*Your other hand should support the ball on the side

*The ball should be brought above the head in one motion

*At this point, the angles at your armpit, elbow, and wrist is  at 90 degrees

*While extending your knees, extend your forearm and snap your wrist

*Make sure you follow through with your wrist movement. If it feels natural to jump upon release, do so.

In sum, you are shooting a basketball with the kinetic energy transferred from your legs to your hands.  The most optimal case is that the snap of wrist only directs the basketball and adds backspin to it.  You should also shoot the basketball as naturally as possible.  In the event that the power from your legs is not enough to shoot the basketball, (for example, you are doing a fade-away and a portion of the leg power is directed towards the back.) you are forced to use your wrist in a controlled manner.  In particular, do not forcefully use your wrist or jerk your wrist for extra power. This will greatly reduce your shot accuracy. 

To tap into your wrist power while maintaining control and flexibility is a very difficult thing. You really need to invest into beefing up your wrist.