Final answer:
The state that has Buffalo on the eastern shore of Lake Erie, as well as Niagara, Rochester, and Syracuse, is New York.
Step-by-step explanation:
The state that has Buffalo on the eastern shore of Lake Erie, as well as Niagara, Rochester, and Syracuse, is New York. It is located in the northeastern part of the United States.
Buffalo is situated in the western part of New York, near the border with Canada, while Niagara Falls is located in the western part of the state, along the Niagara River. Rochester is in the western-central part of New York, and Syracuse is in the central part of the state.