While it's a bit stereotypical, this position is traditionally occupied by the tallest, most physically imposing player on each team. Although some collegiate and professional teams are prioritizing centers that can effectively shoot from outside to stretch opposing defenses, this position is generally expected to remain close to the basket on both ends of the floor.
Offensively, centers should be able to score effectively close to the basket. Whether that's short-range jump shots and hook shots, or gathering offensive rebounds and converting putbacks and tip-ins, centers receive the majority of their scoring opportunities from high-percentage areas near the baseline and inside the lane. Centers are also regularly required to set screens for teammates in order to free up shooters or create more room for ball handlers to make plays.
On the other end of the court, centers hold a responsibility as the last line of the team's defense. If opposing players manage to maneuver into the lane, due to the center's height, they are assigned with protecting the basket by altering or blocking close-range shots. Much like on offense, centers are also expected to lead the rebounding efforts and hopefully limit the opposing team to one shot per possession.