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]
(..) An American tradition. So, is something wrong? To be honest, I thought that you were lying and having a party. I guess I was wrong. Oh, apology accepted. Want me to walk you to your car? Where did everybody go? Nora, look, I am sorry I lied, but you know, you gave me no choice, and... (..)2006 TvShow: Desperate Housewives Title: Listen to the Rain on the Roof Season: 3 Episode 1