Well the yellow is Spain, Columbus first settled in southern America and that then expanded further up to where you see the yellow.
Red is Britain (the united kingdom) first settled in the 17th century.
And France being the blue between Britain (the red) and they first settled and colonized during the 16th century.
So in order, first it was Spain, then France, then the British to arrive and settle into the American land.
You can look at a map for the bottom info, bottom Spain, purple being France, orange being United Kingdom (Britain).