How do we know the universe is expanding?
From several independent lines of evidence that agree, the first and most direct being that almost every distant galaxy is moving away from us, faster the further away it is.
The original observation. In the 1920s, building on Vesto Slipher's measurements and Henrietta Leavitt's method for determining distance from variable stars, Edwin Hubble showed that a galaxy's redshift is proportional to its distance. Light from distant galaxies is shifted towards longer wavelengths, and the relationship is linear — twice as far, twice the shift.
What redshift actually is here. Not primarily a Doppler shift from galaxies flying through space. It is space itself expanding while the light is in transit, stretching the wave along the way. The distinction matters: galaxies are not rushing away into a pre-existing void, and there is no centre. Every observer anywhere sees the same recession, which is what an expanding space produces and what an explosion would not.
The independent confirmations:
The cosmic microwave background, discovered in 1965 — radiation filling the sky at 2.7 kelvin, the cooled remnant of a hot dense early universe. Its existence was predicted; its measured spectrum is the most perfect black body ever observed; and the tiny fluctuations in it match the structure we see today.
The abundance of light elements. The proportions of hydrogen, helium and lithium in the oldest material match what nuclear physics predicts for a hot dense phase, and match nothing else.
Time dilation in supernovae. Distant supernovae are observed to brighten and fade more slowly, by exactly the factor expansion predicts — a direct test.
Galaxy evolution. Distant galaxies, seen as they were long ago, look systematically different from nearby ones, which a static universe cannot explain.
What came later. In 1998, measurements of distant supernovae showed the expansion is accelerating, attributed to dark energy — currently unexplained. The rate of expansion measured by different methods also disagrees slightly, an unresolved problem known as the Hubble tension.