The Closest Star to the Sun, Proxima Centauri, Was Recently

Multiple Choice

The closest star to the Sun, Proxima Centauri, was recently found to have a planet in its habitable zone. Proxima Centauri is a main sequence star with spectral type M. How would its habitable zone differ from the habitable zone of our Sun?

A) it would be significantly closer to Proxima Centauri than ours is to the Sun
B) it would be significantly further away from Proxima Centauri than our is to the Sun
C) it would be in the same position as our habitable zone, but be much wider
D) it would be in the same position as our habitable zone, but be much thinner
E) this question can't be answered until we send a probe to Proxima Centauri