Angry Bird Parabola (Part 2)

This is the second part of the 'Angry Bird' series, continuing the exploration of the parabolic path of the angry bird's flight. In Part 1, students determined that the bird follows the parabola y = -2x² + 17x + 19. This part builds on that by using GeoGebra to dynamically illustrate key features of the parabola, such as the vertex, axis of symmetry, and intercepts with the coordinate axes. The core mathematical concepts involve quadratic functions and parabolas, including completing the square, the quadratic formula, and the correspondence between algebraic expressions and graphical representations. The construction uses the Point command to create key points (e.g., vertex, intercepts) and objects like d, D, E, F, A, B, C, H, I to mark positions, while inserting images pic1 and pic2 to enhance the context, along with text1 and text2 to explain steps. This example is suitable for upper middle school or lower high school students to understand the properties of quadratic function graphs, and can also serve as project-based learning or mathematical modeling material, helping students connect abstract functions with real-world scenarios.