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。