Which of the following state agencies provides training and assistance to local governments in the preparation for, response to, recovery from, and mitigation of disasters?

The State Emergency Management agency is specifically designed to focus on local governments' needs in managing disasters. This agency is responsible for providing essential training and resources for preparation, response, recovery, and mitigation efforts related to various disasters, including natural disasters and emergencies. Through its programs and initiatives, it helps local governments develop contingency plans, coordinate resources, conduct training exercises, and improve overall emergency management capabilities.

The other options, while involved in aspects of emergency services, do not have the same dedicated focus on training local governments as the State Emergency Management agency does. The Department of Public Safety might engage in broader safety initiatives, but it lacks the specialized emphasis on disaster preparedness and recovery. The Federal Emergency Agency operates at a national level and provides funding and assistance during major disasters but is not directly responsible for training local governments. The National Guard can assist during emergencies, particularly with manpower and resources, but it is not primarily tasked with the training of local governments in the comprehensive management of disasters.