When comparing the spectrum of a stationary galaxy to that of a galaxy in motion, the key difference typically lies in the Doppler effect.
If the galaxy is moving away from us (receding), the spectrum will shift to the right, towards red (redshift). If the galaxy is moving towards us (approaching), the spectrum will shift to the left, towards blue (blueshift).
Given your options and the context of the stationary galaxy, if you're referring to a galaxy moving away from the observer, the correct choice would be:
The spectrum shifts to the right, towards red.