An adjective expressing 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.
子どもはおもちゃを欲しがる。
Children want toys. / The child wants a toy.
An auxiliary adjective attached to the -te form of a verb to express a wish or request meaning 'want (someone) to do ~' (i.e., 'please do ~').
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.