The magnification of the person's face is 2.0. This means that the image of the face will appear twice as large as the actual face.
A spherical, concave shaving mirror has a focal length of half its radius of curvature. So, in this case, the focal length would be:
f = R / 2 = 32.0 cm / 2 = 16.0 cm
When a person's face is 12.0 cm to the left of the vertex of the mirror, the object distance (do) is -12.0 cm (since it's on the left side). We can use the mirror equation to find the image distance (di):
1/do + 1/di = 1/f
1/-12.0 cm + 1/di = 1/16.0 cm
Solving for di, we get:
di = -24.0 cm
The magnification (M) is then given by:
M = -di / do = -(-24.0 cm) / (-12.0 cm) = 2.0
Therefore, the magnification of the person's face is 2.0. This means that the image of the face will appear twice as large as the actual face.