Guess My Rule: A Game for Recognizing Graph Transformations and Function Familie

① This interactive GeoGebra example is a game where players input numbers and observe outputs to deduce a hidden function rule, making graph transformations and function family characteristics tangible. ② Core math concepts include functions, function graphs, geometric transformations (translations, stretches, reflections), and function families (linear, quadratic, exponential, etc.), with extensions to derivatives and median lines. ③ Construction highlights: uses Textfield and InputBox objects for user input, buttons to trigger evaluation, function objects (functions, f, g, f') and points (A, B, C) for dynamic feedback, text objects (text1–text8) for hints, guess counts, and results, plus data objects (data, guesses, ups) to track game state. ④ Suitable for upper secondary to early university students, ideal for inquiry-based learning, classroom activities, or gamified practice in understanding function transformations and family classification.