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I dont understand very the signal convention for mirrors. The most common answer is that everyhting...

I dont understand very the signal convention for mirrors. The most common answer is that everyhting in front of the mirror is negative and behing the mirror is positive.

I was doing an exercise where you an object that is put in front of a mirror at the distance of 60 cm, and the final image is virtual with the distance 15 cm. The question is what is the focal length, the radius and what type of mirror is.

the answer given is radius is 40 cm, but that result only is possivel if I take in consideration that the object distance and the virtual image have opposite signs which I dont think it makes sense, because the virtual image is on the same side as the object? The same goes for the focal length, is convention that concave mirror has positive focal length but is in front of the mirror so i dont get why is positive and not negative?

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