The correct answer is "For the first time, she feels a sense of connection with the world around her and looks forward to the future."
Explanation: In "Miracle Worker", Annie Sullivan takes Hellen Keller to a well-house for two weeks to correct her behavior by teaching her discipline and consistency.
We can observe that all the answers contain ellipsis which is an intentional omission of a word, sentence or something longer. The correctly applied version of ellipsis is the first option - Our democratic-republican government is based on the idea of the natural right of every individual member thereof to . . . a vote in making and executing the laws. Omitted word is "voice". Other options are not correct because all of them contain mistakes regarding the usage of the ellipsis.