Which agency is responsible for developing guidelines and funding districts for family resource and youth service centers?

The Cabinet for Human Resources is the correct answer because it plays a crucial role in developing and overseeing social services that support families, youth, and children. This agency is tasked with creating the guidelines and providing funding specifically for family resource and youth service centers, ensuring that community needs are met and resources are allocated effectively to support families and youth in Kentucky.

In this context, the other agencies, while they may address various aspects of health, education, and child services, do not have the specific responsibility for the administration and funding of these centers. The Department of Health is primarily focused on health-related issues, the Department of Education handles educational policies and funding, and the Office of Child Services is concerned with safeguarding children rather than managing these particular resource centers. Thus, the Cabinet for Human Resources stands out as the agency directly responsible for this function.