Now that you know a little about what the face-off man does, and what his primary goals are, let me start to explain and break down a basic stance. This stance is called the knee down stance, for obvious reasons. Here, your right knee should be on the ground angled towards the ball, not straight forward towards your shaft. Your left foot should be even with about the butt end of your stick. Here is a photo of what it should look like. 
Now, your hand placement should be what is known as motorcycle or “moto” grip. This is because you grip the shaft like you would drive a motorcycle. Your right hand should be as close to the plastic of the head, but not touching the plastic because that is illegal. The left hand should be about shoulders width, down the shaft, not too close or too far down the shaft. This is because when rotating in a 50/50 battle, this gives you the perfect quickness and strength to win the battle. This is by far the most common and dominant stance in todays game. I would definitely, recommend getting very familiar with this stance if you trying to learn to face-off.
Also watch this if you are interested. https://www.youtube.com/watch?v=AM0y27biYmo
https://en.wikipedia.org/wiki/Face-off
Quick Hands Lacrosse 