The option that best supports the idea of the Big Bang Theory and indicates that our universe is expanding is:
c. The galaxies are experiencing a REDSHIFT.
Redshift refers to the phenomenon where the light from distant galaxies shifts toward the red end of the spectrum. This shift indicates that those galaxies are moving away from us, which supports the observation that the universe is expanding. This observation is a key piece of evidence for the Big Bang Theory, as it suggests that the universe has been expanding since its inception.
In contrast, blueshift (option d) indicates that an object is moving closer, and while some individual galaxies may show blueshift, the overall trend on a large scale is redshift for the majority of galaxies we observe.