At our church, the feasts are always celebrated on their appointed days.
However, if our parish feast day falls mid-week, while still celebrating Divine Liturgy that day, we will transfer the celebration to the following Sunday. Therefore, the actual luncheon, program, hierarchical visit usually happens on the Sunday, not on the Thursday.
For Transfiguration, there will be a DL on Friday the 19th, as well as the blessing of fruits, etc. However, most people work, and cannot attend the services. Therefore, the following Sunday, there will also be the blessing of fruits, flowers, etc.
In other words, it' s not really "transferred", however, it is extended.