Jones scored a power-play goal at 15:21, beating a diving Andersen with a wrist shot from low in the right circle for the 5-2 final.
"It's got to be, starting from me and the other leaders in this room, we've got to be better playing with the lead and playing with some confidence in the third," Carolina captain Jordan Staal said. "We just sat back and turned pucks over.
"I think the guys shelled up a bit. We've got to have some confidence in our group. I mean, our team is good. There's got to be more confidence in the third to bury teams."
Robinson put the Hurricanes up 1-0 at 4:11 of the first period with a wrist shot from the edge of the right face-off circle that fluttered past Bobrovsky.
Svechnikov made it 2-0 at 1:58 of the second period when collected a stretch pass from Staal directly out of the penalty box and put a wrist shot between Bobrovsky's pads on a breakaway.
The Hurricanes outshot the Panthers 16-8 in the first two periods.
Bobrovsky kept the game close in the second period, when he made an early left pad save on Logan Stankoven. In the next few minutes, he made big stops on Taylor Hall and Staal, who redirected a shot at the top of the crease.
“They got the quality chances. Not much, but the quality is high,” Bobrovsky said. “So you just have to be focused and do your best to help the team."
NOTES: Panthers forward Brad Marchand earned an assist on Jones’ goal to extend his point streak to six games (four goals, six assists). ... Bobrovsky tied Terry Sawchuk (445) for the eighth-most wins in NHL history. ... Florida forward Mackie Samoskevich missed his second straight game with a lower-body injury. ... The Hurricanes dressed 11 forwards and seven defensemen. ... Andersen is 0-5-2 in his past seven starts.