textbook-theory · English
Quadratic Functions
A three-page instructional text covering the definition and properties of quadratic functions of the form f(x) = ax² + bx + c, including roots via the quadratic formula, discriminant analysis, and graphical behavior of parabolas (axis of symmetry, minima, maxima). The document concludes with an introduction to tangent lines and the derivative of a quadratic function, presenting the formula df/dx(p) = 2ap + b with worked examples.
quadratic functionsparabolasderivativescalculus introduction