the american southwest was settled by european colonists from
European colonization of the Americas The Spanish began building up their American empire in the Caribbean, using islands such as Cuba, Puerto Rico, and Hispaniola as bases. The North and South American mainland fell to the conquistadors. Florida fell to Juan Ponce de León after 1513. From 1519 to 1521, Hernán Cortés waged a brutal campaign against the Aztec Empire, ruled by Moctezuma II. The Aztec capital, Tenochtitlan, became Mexico City, the chief city of what the Spanish were now calling "New Spain." Later, the areas that are today California, Arizona, New Mexico, Colorado, Texas, Missouri, Louisiana, and Alabama were taken over by other conquistadors, such as Hernando de Soto, Francisco Vázquez de Coronado, and Álvar Núñez Cabeza de Vaca. Farther to the south, Francisco Pizarro conquered the Inca Empire during the 1530s.