Parabola Translation with Standard Form

This example demonstrates the translation of a parabola in the coordinate system using its standard form equation. Key math concepts include the standard form of a parabola, translation transformations, vertex coordinates, root calculations, etc. The construction uses GeoGebra commands like Root, Factor, and Min, involving objects such as parameters c, a, b, function f, roots Root_1, Root_2, distance D, texts text1, text5, function g, vertex Vertex, and line d. It is suitable for high school students learning analytical geometry to visually understand the geometric meaning and algebraic expression of parabola translation.