We find that the child's image in the magic mirror has
1. Head bigger and hence the mirror must be a concave mirror. A concave mirror here is producing an enlarged and erect mirror.
2. The middle portion unaltered and hence the middle part of the mirror must be a plane mirror.
3. The bottom part of the mirror produces a smaller image of the legs. The image is smaller since it is produced by a convex mirror. The convex mirror produced the erect and diminished image.