Graphs of Quadratic Functions by Myrl Ferrell

① This example demonstrates the graph of a quadratic function y=ax²+bx+c (a parabola) and how its shape and position change as the coefficients vary, highlighting the opening direction, vertex, and axis of symmetry. ② Core mathematical concepts include the standard form of quadratic functions, vertex and axis of symmetry, discriminant and roots, and the correspondence between function graphs and real solutions. ③ Construction notes: Although no specific GeoGebra commands are listed in the summary, typical such examples use function input (e.g., f(x)=a*x^2+b*x+c), sliders to control coefficients a, b, c, and may employ tools like 'Extremum' or 'Root' to mark the vertex and zeros, or a line object for the axis of symmetry. ④ Suitable for middle school to high school students, for introductory graphing, dynamic exploration of coefficient effects, and as a classroom demonstration or self-study activity.