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]
(..) Jake was in New York? He told Clinton he'd never seen anything like it. He realized straight off he'd need more than an apology to win you back. He needed to conquer the world first. He's been tryin' ever since. That's why he kept sending the papers back. (..)2002 Sweet Home Alabama