あげる
give (to someone else)
Giver は/が + receiver に + thing を + あげる
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Japanese has three verbs for giving, chosen by direction. あげる is giving away from you, or between other people: 友達に本をあげました, "I gave my friend a book".
The giver is the subject; the receiver takes に; the thing takes を.
It never points towards you. When someone gives something to you or someone on your side (family, your team), the verb is くれる, the next point.
For animals and plants, the traditional word is やる (猫にえさをやる), though many people now say あげる to pets too.
To superiors, あげる can sound like a favour. Politely you'd say さしあげる, or avoid the giving verb altogether: お土産です, "here's a souvenir".
Register: やる is used for animals and plants, and casually to younger family.
Examples
友達に誕生日のプレゼントをあげました。
I gave my friend a birthday present.
田中さんは山田さんに花をあげました。
Mr Tanaka gave Ms Yamada some flowers.
毎朝、猫にえさをやります。
I feed the cat every morning.
弟にゲームをあげるつもりです。
I'm going to give my little brother a game.
このチョコ、一つあげるよ。
Here, have one of these chocolates.