Answer:
Redshift is the decrease in wavelength when an object moves further away relative to a celestial body. If a galaxy gives off a redshift, the galaxy is getting further away. The Big Bang Theory says that all of the universe started in one spot and then expanded. The fact that galaxies are moving away from each other (as proved by redshift) shows that the universe is, in fact, expanding.
If the universe did not start all in one spot, it would not make sense that the universe was expanding. Not only are galaxies moving away from Earth, but they are also moving away from each other. So, the entire universe is spreading out and cooling down after the initial Big Bang.