It is the point , on the central axis, where light, that is parallel to the central axis, passes thru after it is reflected from the mirror. It is also at a distance from the mirror equal to twice the radius of curvature of the mirror.
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Focal length, positive number with a concave mirror, negative for a convex mirror.
1/object distance + 1/ image distance = 1/focal length
yes
The focal length of a concave mirror is about equal to half of its radius of curvature.
I don't think so. The focal length would remain the same. It mainly depends on the radius of curvature of the mirror.