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Red shift
Red shift is the increase in wavelength of light from an object moving away from the observer.
Doppler effect
The Doppler effect is the change in observed wavelength or frequency of a wave due to relative motion between the source and the observer.
A passing ambulance siren sounds lower in pitch as it moves away because sound waves are stretched.
For galaxies, red shift is interpreted using the Doppler effect for light.
Hubble’s law
Hubble’s law states that the speed at which a galaxy moves away from us is proportional to its distance from us.
Dots drawn on a balloon move apart as the balloon inflates, even though no dot is at the centre.