Reflection of y²=ax: Parabola Transformation

This GeoGebra example dynamically illustrates the reflection of the parabola y²=ax across an axis or line. The core mathematical concept is the equation of a conic (parabola) and geometric transformations, specifically reflection symmetry. Construction highlights: a slider parameter 'a' controls the parabola's opening and scale, while three text objects (text1, text2, text3) display the equation, reflection rule, and key point coordinates, making the pre- and post-reflection curves and focus positions visually comparable. Suitable for high school analytic geometry or introductory college geometry, this resource helps students understand how reflection alters a curve's equation and serves as an effective classroom demonstration or self-study tool.