The correct answer is (A) To recognize or certify a school, college, or other educational institution as fulfilling specified requirements. Also to officially recognize an ambassador of a foreign government or an envoy, etc. To make creditable or authoritative, or provide with credentials. In addition, to ascribe to or attribute to.

Examples of use:

• That institution is an accredited university.
• The invention of the telephone is accredited to Alexander Graham Bell of Brantford, Ontario.