King Agnarr's appearance is short in the first movie (we get more of his story in Frozen 2), but it is enough for us to understand he is a loving, kind, and caring dad. In the novel A Frozen Heart, it's said Agnarr spoils his daughters Elsa and Anna, and has a hard time punishing them when they misbehave. He is petrified of magic, which causes him to make some questionable parenting decisions to protect his daughters.
Best line: "No! We'll protect her. She can learn to control it, I'm sure. Until then, we'll lock the gates. We'll reduce the staff. We will limit her contact with people and keep her powers hidden from everyone . . . including Anna."
