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Quick looked like a goalie who needs some time to reach prime form.
Kevin Gravel scored his first NHL goal and Peter Budaj stopped 21 shots for the Kings, who have lost six of eight.
Tyler Toffoli also scored for Los Angeles, which halted a three-game skid.
Josh Manson scored his second goal of the season, John Gibson stopped 24 shots for his 10th career shutout and the Anaheim Ducks defeated the Los Angeles Kings 1-0 on Sunday night.
Aleksander Barkov scored the go-ahead goal 15 seconds into the third period, Roberto Luongo made 33 saves and the Florida Panthers beat the Los Angeles Kings 3-2 on Saturday night for their fourth straight win.
Tanner Pearson scored twice, Dustin Brown had a goal and an assist in the third period and Peter Budaj had 17 saves for the Kings.
Los Angeles was coming off consecutive 5-0 losses at Washington and Tampa Bay, yet had six goals before this game was half over.
Marian Gaborik also scored during Los Angeles' three-goal first period.
The fourth line scored both of Arizona's goals, but the Kings countered quickly after both scores.
In 1988 a trade that shocked the NHL started a hockey explosion on the West Coast.
Peter Budaj stopped 22 shots for the shutout, and Kyle Clifford scored into an empty net.
Anze Kopitar and Tanner Pearson scored in the opening 1:46 of a three-goal first period.
Jordan Nolan and Kyle Clifford scored, and Jeff Zatkoff finished with 14 saves for Los Angeles, which has lost four straight and five of seven.
Tanner Pearson and Marian Gaborik scored for the Kings, who ended a seven-game homestand with four defeats.
Los Angeles chased Jake Allen with Muzzin's second goal, sending the St. Louis goalie to the bench early in his second straight game.