Islanders forward Oliver Wahlstrom took a holding penalty at 10:47 of the third period, and Teravainen capitalized on the power play with a one-timer at 11:36 to give the Hurricanes a 5-3 lead.
"I thought the fifth goal really took us out of the game," Trotz said. "We were sort of hanging around and I felt we were going to have a last push, and (then) we took an offensive zone penalty."
Svechnikov scored an empty-net goal on the power play with 42 seconds left for the 6-3 final.
"Both teams played really well, I thought," Carolina coach Rod Brind'Amour said. "They would probably say they gave up too much, and I thought we gave up a little too much, but it was an exciting game."
NOTES: Defenseman Tony DeAngelo had two assists in his Hurricanes debut. … Chara was plus-1 and had four hits in 16:21 of ice time in his return to the Islanders; he played his first four NHL season with New York (1997-2001). … Andersen was drafted by Carolina in the seventh round (No. 187) of the 2010 NHL Draft but did not sign with the Hurricanes. He is the third goalie in League history to go at least 11 years between being drafted and debuting with his draft team (Manny Legace, Hartford Whalers/Carolina; 16 years, 138 days, and Corey Schwab, New Jersey Devils; 12 years, 303 days).