Turbocharger- a turbine driven off of the engines exhaust gasses
As you can see the left portion is where exhaust gasses enter and push on the turbine to spin it while a shaft connects the two turbines together thus turning the front turbine to suck in air which later goes to the engine intake
Supercharger- a belt driven device much like a turbocharger that does not use exhaust gasses to turn the turbine but rather a belt from the engine
As you can see here a belt turns the turbine/ scrolls sucking in air into the engine intake
Automotive Math and knowledge 