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]
(..) someday I'll be good at something. Who'd have guessed that something'd be zombie killin'. - Probably nobody. - Look! - We better start working on our apology. - Up here! -Oh my God! - They're up there, they're okay. - What are you waiting for? - It's your gal. (..)2009 Zombieland
(..) - Oh my God. You're thinking about fucking Wichita. Wish granted. She spent the last hours fucking us both. Good luck now Petunia. - Ok, let me begin my three-part apology by saying that I think you're a wonderful human with great potential.. - FYI, I beat wholesale ass for a lot less than that. (..)2009 Zombieland