He 'offered no apology for' his bad behavior. [=he didn't say he was sorry for acting badly]
The company issued/delivered an official 'apology' to its customers for its error.
He's a poor/sad 'apology for' a father. [=he's a bad father]
(..) - You'll speak when spoken to. And ye will not lay a hand on those under the protection of parley. Aye, sir. My apologies, miss. Captain Barbossa, I am here to negotiate the cessation of hostilities against Port Royal. There were a lot (..)2003 Pirates of the Caribbean: The Curse of the Black Pearl
(..) I appreciate your fervor, but I'm concerned about the effect this subject will have upon my daughter. My apologies, Governor Swann. Actually, I find it all fascinating. Yes. That's what concerns me. Look! A boy! (..)2003 Pirates of the Caribbean: The Curse of the Black Pearl