The Phillies' offense, which produced 42 runs in the previous three games, was held in check for four innings by the Rockies' Greg Reynolds.
Philadelphia then produced a quick outburst that broke open the game and gave Adam Eaton his first victory of the year.
Rollins walked to lead off the fifth in a 1-1 game and Shane Victorino drew a walk, as well. Utley followed with a homer to right on an 0-1 pitch, his 17th of the season.
Reynolds (0-2) walked Ryan Howard and, one out later, Jenkins also homered to right. Reynolds gave up six runs on just five hits, but he walked eight. The Rockies have lost eight straight road games.
Eaton (1-3) surrendered a lone run on four hits and struck out four over six innings.