Henne stayed at quarterback for that whole first half, and finished at impressive 15-for-24 for 194 yards.
Bush, for his part, gained 53 yards rushing on attempts and added 33 yards on two receptions.
Thanks largely to those two, the Dolphins led 17-0 at the half and had huge advantages of 17-3 in first downs and 301-90 in total yards.
Matt Moore didn't have as much success in the second half after taking over for Henne, as he managed only one field-goal drive.
That field goal made it 20-0 before Carolina scored 10 points in the fourth quarter.
Matt Moore wasn't helped by a bad drop by Marlon Moore on a deep pass after Marlon Moore got past the defender.
In fact, the failure to connect on four long attempts was about the only thing that went wrong on offense.