My Quadratic app for iPhone and iPad

This app is an interactive graphing math book in which high school, college students and science lovers can observe and try out various ways of analyzing a quadratic function with graphing features.

Students are gradually introduced the theory behind a quadratic function with various parameters. Mathematically, a quadratic function may be expressed in one of the three forms: the vertex form, the general form, and the factored form. This app shows techniques to find the zeros, the coordinates of the vertex, the y-intercept; to draw the corresponding parabola and its axis of symmetry; as well as to algebraically convert from one form to another. 

There are formula-specific calculators (CalPad) and parabola plotter (PlotPad) that help students characterize a quadratic function using domain, range, and variations; and visualizing the relative size and shape of the transformed parabola compared to the basic one.

• 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)