a. Religious group X: Latter- day Saint (Mormon) Religious group Y:Lutheran Religious group Z: Baptist

b. Latter-day Saint (Mormonism)
Factor 1: Migration from the east to the west.
Explanation: This religion was discovered in New York by Joseph Smith in the year 1830. Mormons had strong religious beliefs and because of this they began to move towards the West in 1846 because of their violent persecutions which were happening in Missouri, Ohio, and Illinois. They sought freedom and migrated to the West because they hoped for a land that could offer them a safe life. This is an example of relocation diffusion because Mormonism was ultimately spread though the physical movement of people from one place to another.