3F5X1 Admin 5-Level Online Course Practice Test

The correct answer is that the program providing eSponsorship training to assist with a member's move is the Sponsorship Enhancement Program. This program is specifically designed to enhance the sponsorship experience for service members and their families as they transition to new duty stations. It offers resources and training aimed at improving the effectiveness and efficiency of sponsors, ensuring that incoming personnel receive the information and support they need.

While Military One Source is a comprehensive resource for military families that offers various types of support including information on relocation, it does not focus specifically on the eSponsorship training aspect. The other choices, like the Air Force Personnel Center and Joint Base Support, provide broader personnel and installation support but do not specifically address the eSponsorship training component aimed at improving the transition process for service members and their families. The Sponsorship Enhancement Program directly addresses these needs, making it the best fit for the training related to a member's move.