This is one of the questions that come up a lot, the old turbo vs. supercharger debate.
Technically, anything that forces more air into the engine then it would have ingested naturally aspirated is a supercharger. Superchargers that are driven off of exhaust gas through a turbine are technically called turbine superchargers, but more commonly just called turbos.
All of the forced induction systems have the primary goal of forcing a higher mass of air into the cylinder, which when fueled correctly, generates higher cylinder pressures and more torque on the crank, which makes tires go up in smoke faster
