How to solve a Convex Mirror problem mathematically

First things first, lets identify the variables in the problem.

o = object distance, how far the object (in this case the light bulb) is from the mirror.

i = Image distance, very the object appears to be because of the mirror.

f = focal length, a property of the mirror, for convex mirror (because it's virtual) the focal length is negative

h= height of the object

o = 35.5 cm i = ? f = -12.2 cm h= 4.0 cm

Things that students screw up, when solving the mirror equation remember "least common denominator". You simple can't add denominator together.

As for the magnification equation, an important note a negative magnification means a flipped image, positive magnification the image is right side up.