1.Which of the following can a state refuse to a family that recently moved there from another state?*
A.) The right to vote in local elections until the adults have established residency
B.) The right to send their children to public school
C.) Recognition of the legality of the parents' marrige
D.) The right to run a business that competes with local businesses

the right to vote in local elections until the adults have established residency

Explanation:

Before being allowed to participate in local elections, all states require the voters to have live in their current residency for a specific period of time.  (most states require you to live there for  366 days before considered as local residents)

This policies was created to prevent voters fraud. Without this policy, somebody can move to another local residency during the election period in order to cast their votes more than once.