Will It Hit the Hoop 4_1 – Quadratic Functions and Symmetry

This GeoGebra example simulates a basketball shooting trajectory to determine whether the ball will hit the hoop, visually demonstrating the relationship between a quadratic function graph and the target position. Core mathematical concepts include quadratic functions, axis of symmetry, vertex coordinates, and intersections of the graph with axes or objects. Construction highlights: the Intersect command is used to find the intersection point between the parabolic path and the hoop, while points A and B, parameters a, h, k, along with image pic1 and text text1, create an interactive setup where a controls the parabola's opening and h, k shift its vertex. Suitable for upper middle school or high school students exploring function modeling and geometric applications, this activity also serves as a small-group investigation (e.g., Group 1) to strengthen visual reasoning and real-world problem-solving skills.