Answer:
Vertex: 
Solutions: (0,-7), (1, -1), (2, 7)
I hope this helps!
My friend says 5 is 60 and 6 is b.
If you don't know what the Declaration of Independence means:
The Declaration of Independence is the statement adopted by the Second Continental Congress meeting at the Pennsylvania State House (Independence Hall) in Philadelphia on July 4, 1776, which announced that the thirteen American colonies,[2] then at war with the Kingdom of Great Britain, regarded themselves as thirteen newly independent sovereign states, and no longer under British rule. Instead they formed a new nation—the United States of America. John Adams was a leader in pushing for independence, which was passed on July 2 with no opposing vote cast. A committee of five had already drafted the formal declaration, to be ready when Congress voted on independence. The term "Declaration of Independence" is not used in the document itself
I hope that helps
There are 6 other positions in the string, each with 26 choices. So if you fix BO as the first two letters, there are

possible strings that you can make.
If BO is at the end of the string, you still have

possible strings.
Together, then, you have

possible strings.