apologize */*/

UK [əˈpɒlədʒaɪz] / US [əˈpɑləˌdʒaɪz] verb [intransitive]
Word forms "apologize":
present tense I/you/we/they apologize he/she/it apologizes present participle apologizing past tense apologized past participle apologized

Ways of apologizing:

Sorry/I'm sorry → the usual way of apologizing to someone you know well I do apologize for... → a more polite and formal way of apologizing, used especially when you feel responsible for something that someone else has done Excuse me → used when apologizing for something you did accidentally I beg your pardon → a more formal way of apologizing for something you did accidentally I/We owe you an apology → used when you realize you have treated someone badly, for example by blaming them for something that is not their fault Please accept my/our apologies → used when making a written or formal apology I/We regret... → used when making an apology in an official announcement
Examples:
I'm sorry I'm late, Amy. I missed the train. ♦ I'm sorry, I didn't quite hear what she said. I do apologize for Julie's behaviour. She's normally so reliable. Oh, excuse me, I didn't see you standing there. I beg your pardon, I didn't mean to interrupt. We've discovered who the thief was, and it seems we owe you an apology. We accept that this was the company's fault and ask you to accept our sincere apologies. My apologies if I have offended you in any way. We regret to announce that tonight's performance of "La Traviata" has been cancelled.
Ways of accepting an apology:
That's quite all right/There's no need to apologize → used when telling someone that you do not mind what they have done No problem → used when telling someone you know well that you do not mind what they have done
Examples:
"I'm sorry I'm late." "That's quite all right, I've only been waiting for a minute." ♦ There's no need to apologize, it was an easy mistake to make. "I'm sorry I can't help you." "No problem, I'll ask Rory."

to tell someone that you are sorry for doing something wrong or for causing a problem

There's no need to apologize.

apologize for:

I apologize for taking so long to reply.

apologize to:

You should apologize to your customers for wasting their money.

apologize profusely/sincerely/unreservedly:

The newspaper has apologized unreservedly for printing false allegations about her.