"Nobody panicked," Bosh said. "We stuck to the game plan and eventually they started missing shots."
Bosh bounced back after grabbing just one rebound in a loss to Washington on Tuesday night.
The Raptors have not dropped four straight since Dec. 6-11. At that time, they were in fourth place in the Atlantic and 13th in the East, but they've gone 26-15 since.
"This was very important to us. We had a little three-game slide and a team that was beatable," Bosh said.
Miller had six points as Memphis began their run, but Toronto ended the first quarter leading 25-20 and never trailed again. Juan Dixon had eight of his 17 points in the period.
Dixon, who scored a season-high 24 points against Cleveland on Friday, started his second straight game in place of Anthony Parker (sprained right ankle). Toronto acquired Dixon from Portland just before last month's trade deadline.
T.J. Ford and Jose Calderon, Toronto's two point guards, combined for 17 assists and 15 points. Calderon had nine assists and 11 points.
"It was an opponent that we knew we were supposed to beat," Ford said.
Bargnani hasn't shown any signs of fatigue in his rookie season, displaying a nice touch from outside and inside. The Italian forward had 12 points as Toronto led 49-38 at halftime.
Morris Peterson's 3-pointer and Bosh's short jumper gave Toronto a 24-point lead with 8:29 left in the game.
Toronto's bench scored 46 points. ... The Raptors ended a four-game home skid to Memphis. ... Toronto shot 50 percent compared to 44 for Memphis. ... Dixon went 6-for-9 from the field. ... The Raptors don't play again until Sunday.