My Quadratic 4.3

This application functions as an interactive mathematical textbook focused on graphing quadratic functions, serving high school and college students as well as enthusiasts in the sciences to explore various analytical techniques through visual tools.

It introduces users to the foundational theory underlying quadratic functions with different parameterizations. The app covers the three main algebraic representations: vertex form, general form, and factored form. It provides guidance on methods to locate zeros, determine the coordinates of the vertex, identify the y-intercept, and graph the parabola along with its axis of symmetry. Additionally, it demonstrates how to algebraically convert between these forms.

Integrated tools such as formula-specific calculators (CalPad) and a parabola plotter (PlotPad) facilitate a comprehensive understanding of quadratic functions. These features enable students to analyze characteristics such as domain and range, observe variations, and compare the scaled and shifted parabola relative to the standard form.

• The vertex form: f(x) = a(x - h)² + k
• The general form: f(x) = ax² + bx + c
• The factored form: f(x) = a(x - x₁)(x - x₂)