Graphing Quadratic Functions - Intercept Form 1 by Thomas Gebbie

①This example demonstrates a quadratic function in intercept form, where students are asked to type in the y-intercept, axis of symmetry, and vertex of the given parabola. ②Core math concepts include the intercept form y=a(x-p)(x-q), the y-intercept (value at x=0), the axis of symmetry (vertical line through the midpoint of the roots), and the vertex (point on the axis of symmetry). ③Construction details: GeoGebra commands such as Textfield create input boxes, Vertex computes the vertex, Polygon and Intersect build auxiliary shapes and intersection points; multiple text objects (text1 to text5) guide student input. Objects include m, e, f, a, b, c, d, g, h, i, j, k, l, points A through M, and polygon poly1. ④Suitable for upper middle school or lower high school students learning quadratic function properties, and useful for interactive classroom practice or self-study to connect algebraic forms with graphical features.