Quadratic function
Learn quadratic functions from scratch, learn how to read formulas, draw a parabola, and solve quadratic equations and inequalities.
Learning
Quadratic function theory
Short explanations, illustrations, and examples that help you understand formulas, delta, and the graph of a parabola.
Practice
Equations and inequalities
Calculate delta, roots, and solution intervals, then check the result on a graph.
Theory and examples
Understand quadratic functions step by step
Short lessons lead from the definition through formulas to roots and the graph of a parabola. Start with the basics or go straight to the topic you want to review.
Quadratic function from scratch
What a quadratic function is, what a parabola looks like, and why coefficient a matters so much.
FormulasQuadratic function formulas
General, vertex, and factored forms, and the information that is easiest to read from each.
GraphQuadratic function graph
How to draw a parabola, find the vertex and axis of symmetry, and read monotonicity.
RootsRoots and delta
How delta tells you the number of roots and how to solve quadratic equations.
ExercisesQuadratic equations and inequalities
Practice tasks step by step, calculate delta, roots, and solution intervals.