In the case of the concave surface inside the spoon the rays reflected converge at a point a small distance from the curved surface. Beyond the point at which the converging lines of the reflected image cross the image will be inverted top to bottom and left to right. What is happening to the image closer to the spoon where the rays converge (the focal point) can be observed by reducing the distance between the spoon and eye until the size of the reflected image approaches infinity.
A concave (magnifying) mirror will better illustrate this phenomenon.
If you have a concave mirror you might also try projecting and focusing the reflected image from a window to an adjacent wall or a piece of white poster board. See if you can deduce the path of the light rays to the image as they are reflected from the actual scene. An otherwise dark room works best.
DO NOT LOOK INTO ANY MAGNIFIER WHERE DIRECT SUNLIGHT MAY BE OBSERVED!
I�ll now leave it to you to relay this information to your daughter with the advise that knowledge is conveyed by relating it in terms that can be understood based on mutually shared observations and experiences. That she was able to express the question so coherently presents a challenge to answer it in a way that is equally coherent. This will leave a lasting image in her mind that reflects your concern for her intellectual development and well being. Good luck! If I were to wager on the outcome of all of this I would bet that you end up learning more from her than you did from me.
applet demonstrating convergence and subsequent inversion of light rays in a concave mirror
Grab and reposition the point on the red line.