How did steamboats, canals, turnpikes, and railroads affect migration patterns in the united states? (i know that they made more people migrate west, but how/why? )

I think it was because transportation was made way easier and it offered better options for people who wanted to travel. Also i believe at the time the west was rich because of the foreseen treasures such as gold found there so people wanted to travel west to get rich.

 Ok well all of them affected migration because each of them were able to expand outward from the thirteen colonies. This is because each was usually for trading, but eventually turned into people being able to travel. The National Road, or Cumberland Road, was the first highway built by the federal government. Though canals offered tremendous advantages over land shipment, they could not compete with the efficiency and flexibility of the railroad. With improved methods of transportation came the concept of Manifest Destiny.
  
 Your main 3 transportation routes are: 

National Railroad
Baltimore and Ohio Railroad 
Erie Canal

There’s no picture, but i’ll give you a few of expeditions. lewis and clark began in 1804, louisiana purchase 1802, james town 1607