to bring or lead someone or something up, from a lower place to a higher one
At its core this verb simply joins the idea of "up" to the ordinary verb "lead" or "bring." Someone is taken from a lower spot to a higher one: up to Jerusalem, up to an upper room, up into the hills. That plain sense covers most of its everyday uses.
From there the same verb stretches to cover several more specific kinds of bringing up. A sacrifice is brought up onto the altar, so it comes to mean "to offer." A prisoner is brought up before a crowd for public trial. And, most strikingly, God brings his Son back up from the dead, using this everyday word rather than a special term for resurrection. The unifying thread is always the upward motion of bringing something or someone up.
By far its most common use in the New Testament is at sea. Ancient sailors pictured leaving the shore as heading up onto the open water, so this verb became the standard way to say a ship "put out to sea" or "set sail." The return trip, coming back down to land, used the opposite verb (κατάγω). Almost all of these sailing uses appear in the travel accounts of Acts.
It is worth keeping this verb apart from a close relative that means simply "to go up" on one's own (ἀναβαίνω): this word is about bringing someone or something else up, not about the subject rising by itself.