Math Topic
Quadratic Functions
Master parabolas, vertex form, and the quadratic formula. Quadratic functions appear in physics, engineering, and data modeling whenever quantities change at a non-constant rate.
Learning Path
Quadratic Functions Poster
Visual guide to quadratic functions in standard, vertex, and factored form. Covers the quadratic formula, discriminant, vertex, and axis of symmetry.
View Poster →Quadratic Equation Solver
Solve ax² + bx + c = 0 with an interactive graph. See roots, vertex, discriminant, and step-by-step solutions using factoring, completing the square, or the quadratic formula.
Open Tool →Quadratic Functions and Parabolas Lab
Explore standard, vertex, and intercept forms interactively. Find the vertex, axis of symmetry, roots, and discriminant. Complete the square and compare all three forms with an interactive graph.
Open Lab →Key Formulas
- Standard: y = ax² + bx + c
- Vertex: y = a(x - h)² + k
- Quadratic formula: x = (-b +/- sqrt(b²-4ac)) / 2a
- Discriminant: D = b² - 4ac
- Vertex x: h = -b / (2a)
More Resources
Factoring Quadratics Poster
Visual methods for factoring quadratic expressions. Covers factor by grouping, difference of squares, perfect square trinomials, and the AC method.
View Poster →Polynomial Factoring and Roots Explorer
Factor polynomials up to degree 4 and find roots with step-by-step solutions. Visualize the graph alongside the factored form.
Open Tool →Polynomial and Rational Functions Lab
Analyze polynomial roots, end behavior, and turning points. Explore rational functions with vertical, horizontal, and oblique asymptotes using interactive JSXGraph plots.
Open Lab →