My Quadratic vs Geometric Transformations

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)

Use Geometric Transformation to help students visualize basic geometric transformations on a four-Quadrant grid. Draw figures on an XY grid. As shapes are draw the coordinate pairs that describe the vertices are automatically labeled. Once a figure is draw it can be transformed by tapping an icon representing one of the four operations: reflect, dilate, rotate and translate. Suggestions for what to draw are randomly generated so the app presents an unlimited amount of geometric challenges.