Karlsson got his 100th assist with the Golden Knights on Marchessault's goal.
Karlsson scored at 1:35 of the second period to make it 4-0. The Kings replaced Quick with Petersen after the goal.
"[In a 3-1 loss to the Anaheim Ducks on Wednesday] we were very upset -- all of us, players and coaches -- about the effort we put in," McLellan said. "Today, we made mistakes, and mistakes are repairable over time. Some of the younger players that saw this speed coming at them, it was tough. Some of the older players that should've known better also got caught. We'll fix it as we go."
Stone scored at 18:11 of the second, but the goal was overturned after McLellan challenged for goaltender interference by Glass.
Austin Wagner scored for the Kings to make it 5-1 at 7:47 of the third period. It was his first goal.
Dustin Brown scored on the power play at 13:33 for the 5-2 final.
It was Hague's first three-point game in the NHL. The defenseman had 11 points (one goal, 10 assists) in 38 games as a rookie last season.
"For me, it's just getting confident with defending," Hague said. "I don't ever feel intimidated or in awe of other teams' top lines. I feel I can defend a lot better this year, which is something I've tried to work on. That was a focus for me, and I feel a lot better in that area."