I don't know what book that is, but it's an important point from a parent's perspective. I'll never really "win" if I try to pick their friends, but I have refused to let certain ones come over who are known to be involved in seedy things.
I have always emphasized that they should have a high bar for those that they call friends. Friends should be true to them all the time and lift them when they need to be lifted. They should stay away from negativity and draw close to those with a positive influence on them.
And certainly don't cultivate close relationships with kids who are bent on disparaging them for their faith. Don't dismiss those who need to witness to Christ, be evidence of Him, but don't keep them in their inner circle. Being a teen is rough. They need friends who support; not tear down. I've found teenage girls are the worst at that!