The relationship between the states and the federal government?

The relationship between the states and the federal government?
A state is a geographical territory occupied by a group of people,controlled and governed by a government with supereme power and authority to rule over the state and be free from externel control,while the govt is a body through which the will of the state is formulated,expressed and attained.the f.g. is the head of all tiers of govt. It is just like in a family(state),the father(F.G)is the head. the govt is in the state,the state is made up of the people and the govt is elected from the people.so the relationship is like that of a father(F.G) heading a family(state).