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]
(..) what you're unhappy about. You begged me to come, I came. There's just no pleasing you. You're right. I'm the problem, the one that needs help. Well, that's not much of an apology, but I'll take it. Excuse me. Is there anything you'd like to apologize for? Yes. Ahem. (..)2008 TvShow: The Big Bang Theory Title: The Cooper-Hofstadter Polarization Season: 1 Episode 9