Final answer:
The sport that moved to Vermont's Stratton Mountain in 1985 is snowboarding, which Shaun White has dominated.
Step-by-step explanation:
The sport that moved to Vermont's Stratton Mountain in 1985 and was dominated by Shaun White is snowboarding. When considering the relationship between topography and sports, the choice of Vermont for snowboarding fits perfectly as the mountainous terrain allows for the sport's practice and competitions. Similarly, the geographical influence on sports is evident in how certain sports, like downhill skiing, are favored in Alpine countries due to the mountainous terrain conducive to such sporting activities. Meanwhile, other sports such as basketball, which was invented in Springfield, Massachusetts, have become popular nationwide regardless of the topography or climate, illustrating the complex ways in which location can influence sports participation.