Parabola Translation Demo

This example demonstrates the dynamic transformation of a parabola through parameterized translations. It involves core mathematical concepts such as parabola equations, geometric transformations, linear equations, and differential calculus (derivatives). The construction utilizes GeoGebra commands like variables b, c, a, d for translation control, text1 for parameter display, points A, B for vertex marking, and pic1 for visual assistance. Suitable for high school coordinate geometry, calculus introduction, and geometric transformations teaching to intuitively understand the effect of parameters on parabola position.