What are the responsibilities of the region of the brain highlighted below?

Regulating important involuntary bodily functions such as blood pressure, heart rate, breathing, and swallowing
Regulating homeostasis, hunger and eating, thirst and drinking, and many other functions of basic survival
Controlling voluntary body movements, processing information from sense organs, thoughts, and learning abilities
Coordinating movement and balance by using information from sensory nerves, including hand-eye coordination