Final answer:
The Armory Show is significant for introducing European avant-garde art such as Impressionism, Fauvism, and Cubism to American artists, marking a drastic shift from American Realism and spurring a new wave of artistic experimentation in America.
Step-by-step explanation:
The correct answer to which statement about the influence the Armory Show had on artists is: c) "The Armory Show introduced European avant-garde art to American artists."
The Armory Show of 1913 was a pivotal event in American art history, showcasing approximately 1,300 works by over 300 artists. It was the first large-scale exhibition of modern art in America, introducing the public and artists to European avant-garde styles including Impressionism, Fauvism, and Cubism. This marked a significant departure from the naturalistic approach of American Realism and provided a catalyst for American artists to start experimenting with new styles and developing their unique artistic language. The show generated heated debate and even accusations of 'quackery,' but ultimately it played a crucial role in the modernization of American art.