How did war with the french affect the colony?

Which colony?

http://en.wikipedia.org/wiki/French_colonial_empire

well the colonists could not move west, many taxes were granted during the french and indian war, and trade was deminished

To understand how the war with the French affected the colony, we need to identify which specific war and colony you are referring to. There have been several conflicts between the French and various colonies throughout history.

If you are referring to the French and Indian War (1754-1763) and the impact on the American colonies, here is how it affected them:

1. Financial burden: The British government spent a significant amount of money on the war, leading to increased taxes and debt. To recoup some of the expenses, they imposed new taxes on the American colonies, such as the Stamp Act, which sparked resentment and eventually contributed to the American Revolution.

2. Expansion of territory: As a result of the war, Britain gained control of French territories in North America, including Canada and the Ohio River Valley. This expansion sparked further conflicts between colonists and Native American tribes who had previously been allied with the French. The Proclamation of 1763 restricted westward expansion for the colonists, causing additional tension.

3. Military experience: The war provided American colonists with military experience and exposure to British military strategies and tactics. This would later prove valuable during the American Revolution, as many colonists who had fought in the French and Indian War became leaders in the Revolutionary War.

Again, it is crucial to know which specific war and colony you are referring to in order to provide a more precise answer.