It's a little tricky.
It's all based on feel, so very hard to put into words. I will try.
1. Rev the engine a little to say 2000rpm.
2. Let the clutch out quickly to the point of engagement.
3. Before the clutch completely engages (i.e., riding it), give it more throttle.
4. Balance the clutch engagement and throttle input based on "feel".
You can certainly practice "feeling" the launch on the streets, but traction is completely different at the track, so it won't be the same, but your ability to feel should apply.
More on the "feel". If the car is getting really good traction, the "feel" would be engine starting to bog. You can slow down your clutch engagement and add more throttle at the same time. If the car is starting to spin, also slow down the clutch engagement, steady throttle or slightly less.
Hope this helps. Now go play.