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]
(..) That is something to be afraid of. -Hello. -Oh, perfect timing. Monsieur Mendel. How are things in Switzerland? My apologies, I do not mean to rush... ...but million is a large sum of money. It certainly is. You didn't bring any chocolates with you? (..)2006 Casino Royale