Video narration
Why can one concave mirror make an image magnified, tiny, inverted, or virtual? Fix P, the pole; F, the focus; and C, the centre of curvature; R equals 2f. Parallel rays reflect through F; rays through F emerge parallel; rays through C return. Solid intersections are real; dotted extensions, virtual. Infinity: F, tiny. Beyond C: between C and F, diminished. At C: same size. Between C and F: beyond C, magnified. At F: infinity. Between F and P: behind the mirror, virtual, erect, magnified. Here is the key: crossing F changes concave images from real and inverted to virtual and erect. For a convex mirror, F and C are behind the mirror; every real object gives an image between P and F: virtual, erect, diminished. Quick check: at C, same size; between C and F, magnified; at F, infinity. So concave changes with position; convex stays virtual, erect, and diminished.