Answer:
I have re-uploaded the map indicating the areas explored by each nation.
Spain - it is evident that Spain explored all of Mexico, which explains why Spanish is still spoken there. Additionally, they explored parts of the Southwestern United States (Texas, New Mexico, Arizona, Nevada, and California), which were once part of Mexico. They also ventured into Florida and Cuba.
France - the French colonial center was located in present-day Quebec, which is why French remains spoken there. They also explored the Midwest and the Mississippi Valley, founding New Orleans in the process.
England - the English explored the East Coast, where the thirteen original colonies were established. Although their explored area was the smallest compared to the other two nations, it turned out to be the most successful as it became the most densely populated.