Daycare Parents: How does this make you feel?

Well, my daughter had her moments where she hit and bit other children. When i picked her up from school the teacher told me about it, i signed the form and took her to the car. On the way home I told her that she should not bite or hit. I made her repeat it to me, and then the next day I went to class with her (she was 2 and a half) and made her apologize to the teacher and child by saying "I am (name), and I do not kick, hit, or bite. I am sorry." I did not become aggressive, because children do these things. I thought to myself why she would be doing things like that and figured out why. She was new to the daycare, and other kids had bitten her so she picked up the habit. (i know this because of the forms). I also made sure that we calmed things down at home and made sure we didn't let her hit or kick, or throw temper tantrums at home. I also talked to the teachers and told them that if my child ever got out of control to not hesitate to call me or her father. I would rather go up to the daycare while it is going on, and handle the situation than wait till I get home. They don't really understand why they are being punished unless it is handled in the moment.