1An adjective expressing a desire to have something—used as 'want' in phrases like 'I want X'.
新しいカメラが欲しいです。
I want a new camera.
彼女は自由が欲しいと言った。
She said she wanted freedom.
喉が渇いた。水が欲しい。
I'm thirsty. I want some water.
誕生日に新しい自転車が欲しい。
I want a new bicycle for my birthday.
2An auxiliary adjective attached to the -te form of a verb, meaning 'want (someone) to do ~' (i.e., 'please do ~'). Usually written in kana as 〜てほしい.
手伝ってほしい。
I want you to help me. / Please help me.
もう少し静かにしてほしい。
I want you to be a little quieter.
子どもに宿題をちゃんとやってほしい。
I want my child to do their homework properly.
みんなにこのニュースを知ってほしい。
I want everyone to know this news.