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]
(..) Come on, baby. It's all I need, just a little hit. Shut the hell up, you dumb skank. I'm trying to concentrate. I ain't no skank. I would appreciate an apology. What? I am trying to take the high road here. Are you gonna do right? Listen to me, stupid. (..)2009 TvShow: Breaking Bad Title: Peekaboo Season: 2 Episode 6
(..) I will explain the whole thing to them. And while you're at it, explain it to me. I don't owe you an explanation. I owe you an apology, and I have apologised. I am very sorry, Gretchen. There. I've apologised twice now. I'm humbly sorry. Three times. (..)2009 TvShow: Breaking Bad Title: Peekaboo Season: 2 Episode 6