I apologize to you for what I have done.
我为我的所作所为道歉。

apologize to sb for sth
因为..（向某人）道歉
I apologize for being late.
我为迟到道歉 。
I apologize for my rudness.
我为自己的粗鲁道歉。
I apologize to her.
我向她道歉。
Why should I apologize?
我为什么要道歉？

A:Julia,I apologize to you for what I have done.Please forgive me.
茱莉娅，我为我的所作所为道歉。请你原谅我。
B:I've already forgiven you.Actually,I also owe you an apology.I was so rude to you that day.
我已经原谅你了。事实上，我也应该向你道歉。我那天对你那么粗鲁。
A:It doesn't matter.I know that people are so easy to get mad when they're tired.
没关系。我知道人们疲劳时很容易生气。
B:Thanks for your understanding.
谢谢你的谅解。