You were abounded by your biological parents because you are a werewolf just like Remus. Professor McGonagall found you and she she suggested Remus Lupin to take care of you. Now he is like a father to you.

So basically you are Y/N Black, you are Sirius Black's daughter (sorry boys)and he abandoned you. Now you will live with your uncle-Regulus Black. You never had a good relationship with your father. He used to called you names. (Dont mind the voice)