A 4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm. Give the location of the image and the magnification. Describe what happens as the needle is moved farther from the mirror?

Explanation

To solve the problem, we will use the mirror formula and the magnification formula for a convex mirror.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Object height (h) = 4.5 cm (not directly needed for image location but useful for magnification)
- Object distance (u) = -12 cm (the negative sign indicates that the object is in front of the mirror)
- Focal length (f) = +15 cm (the positive sign indicates that it is a convex mirror)
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