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]
(..) Yeah. Thanks. You still take cream and sugar? Yeah. So suppose it's a little late for an apology. You suppose correctly. Look, bitch, I need to know if you're gonna start more shit around my baby girl. You can relax for now. (..)2003 Kill Bill: Vol. 1