If a galaxy has a measured redshift value of z=3, by what factor has its light wavelength been stretched?

Answer

A factor of 1+z, or 4 times its original wavelength

The stretching factor of light waves due to cosmological redshift is quantified directly using the redshift parameter, $z$. The relationship dictates that the observed wavelength is scaled by a factor of one plus the redshift value ($1+z$). Therefore, if a galaxy possesses a measured redshift $z=3$, the light observed has been stretched by a factor of $1+3$, which equals four. This means the wavelength measured by the telescope is four times longer than the wavelength that was originally emitted by the stars within that distant galaxy when the light first began its journey toward us.

If a galaxy has a measured redshift value of z=3, by what factor has its light wavelength been stretched?
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