Red-shift is observed in virtually all galaxies, it is a result of the space between the Earth and the galaxies expanding, increasing the wavelength of the light from these galaxies, shifting them towards the red end of the spectrum.
The Big Bang theory describes the early development of the Universe, stating that about 13.8 billion years ago the whole Universe was a very small, extremely hot and dense region.
Astronomers have discovered that, in general, the furtheraway a galaxy is, the more red-shifted its light is, providing evidence that the Universe, including space itself, is expanding.
The cosmic microwave background radiation (CMBR), which comes from all directions in space and has a temperature of about -270 °C, is the remains of the thermal energy from the Big Bang, spread thinly across the whole Universe.
Theories about the development of the Universe, such as the Big Bang theory, are based on astronomical observations and ideas such as red-shift and dark energy.
The initial Big Bang heat should now be thinly spread across the whole Universe, as predicted by the Big Bang theory, and this is supported by evidence from the CMBR.
The answer to this would give them an idea of whether the Universe is going to expand forever, or if the gravitational attraction between all objects will eventually slow to a stop, attracting everything back together in a 'Big Crunch'.