説明
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)
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