A mirror equation is an equation that relates object distance and image distance to focal length. The distance of the image from the mirror will be -3 cm.
<h3>What is a mirror equation?</h3>
A mirror equation is an equation that relates object distance and image distance to focal length. It's sometimes referred to as a mirror formula.
![\rm \frac{1}{v} +\frac{1}{u} =\frac{1}{f} \\\\](https://tex.z-dn.net/?f=%5Crm%20%5Cfrac%7B1%7D%7Bv%7D%20%2B%5Cfrac%7B1%7D%7Bu%7D%20%3D%5Cfrac%7B1%7D%7Bf%7D%20%5C%5C%5C%5C)
The given data in the problem is;
f is the focal length = -4. 5 cm
u is the object distance=12. 0 cm
v is the image distance =?
![\rm \frac{1}{v} +\frac{1}{12.} =\frac{1}{-4.5} \\\\ \rm \frac{1}{v}= \frac{1}{-3} \\\\ \rm v= -3cm](https://tex.z-dn.net/?f=%5Crm%20%5Cfrac%7B1%7D%7Bv%7D%20%2B%5Cfrac%7B1%7D%7B12.%7D%20%3D%5Cfrac%7B1%7D%7B-4.5%7D%20%5C%5C%5C%5C%20%5Crm%20%5Cfrac%7B1%7D%7Bv%7D%3D%20%5Cfrac%7B1%7D%7B-3%7D%20%5C%5C%5C%5C%20%5Crm%20v%3D%20-3cm)
Hence the distance of the image from the mirror will be -3 cm.
To learn more about the mirror equation refer to the link;
https://brainly.in/question/31545592