Scrum-half Ben Afshar scored on his first professional start as Glasgow recorded a 40-7 bonus-point victory over the Dragons.
Warriors led from the 30-second mark as both Josh McKay and Stafford McDowall claimed the first of their two tries in the opening four minutes.
Facundo Cordero also notched a try on a personal milestone as he made his long-awaited debut, while Will Reed claimed a consolation try for the visitors at Scotstoun.
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