University of Texas at Austin
Mathematics Teks Toolkit: Quadratic Functions
Students use a real-world problem to solve for quadratic functions.
Purple Math
Purplemath: General Polynomials
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
Math Planet
Math Planet: Algebra 2: How to Graph Quadratic Functions
Gain an understanding of how to graph quadratic equations by viewing an example and a video lesson.
Cool Math
Coolmath: Graphing Polynomials Complex Zeros
This algebra lesson shows how to graph polynomials with complex zeros.
Cool Math
Coolmath: Graphing by Completing the Square Intro
This algebra lesson introduces how to complete the square in a parabola.
Math Planet
Math Planet: The Graph of Y = Ax^2 + Bx + C
A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.
Math Planet
Math Planet: Use Graphing to Solve Quadratic Equations
A quadratic equation is an equation that can be written on the standard form ax^2 + bx + c = 0, where a is not = 0. One way of solving a quadratic equation is by factoring. Another way of solving a quadratic equation is to solve it...
Illustrative Mathematics
Illustrative Mathematics: F Le Finding Parabolas Through Two Points
For this task, students are asked to find the quadratic functions that pass through two given points on a coordinate grid and to describe how their graphs are related. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F if Which Function?
For this task, students are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
University of St. Andrews (UK)
University of St. Andrews: Quadratic, Cubic and Quartic Equations
This site gives a history of quadratic functions.
Khan Academy
Khan Academy: Algebra Ii: Zeros of Polynomials (Factored Form)
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Graph Quadratics in Vertex Form
Graph quadratic functions that are given in the vertex form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Graph Quadratics in Factored Form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2). Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Difference of Squares
Factor quadratic expressions of the general difference of squares form. The factored expressions have the general form (ax+b)(ax-b). Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
Interactive Mathematics
Interactive Mathematics: Quadratic Equations
Using modeling, the world of quadratics is explored. Learn how to solve quadratics using methods of factoring, completing the square, and the quadratic formula. Also included are methods for graphing quadratic functions.
Analyze Math
Analyze Math: Quadratic Functions (1)
Students are introduced to quadratic functions. The tutorial explores the equation of a quadratic function, intercepts, graphing, and points of intersection. The activity consists of examples with detailed solutions.
CK-12 Foundation
Ck 12: Algebra: Vertex Form of a Quadratic Equation
[Free Registration/Login may be required to access all resource tools.] Write quadratic functions in vertex form and find their vertex and intercepts.
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Their Graphs
[Free Registration/Login may be required to access all resource tools.] Learn the anatomy of the graph of a quadratic function.
CK-12 Foundation
Ck 12: Factor Quadratics: Methods for Solving Quadratic Functions
[Free Registration/Login may be required to access all resource tools.] A review of the three major methods of solving quadratic functions for "x" intercepts.
CK-12 Foundation
Ck 12: Algebra: Factorization of Quadratic Expressions
[Free Registration/Login may be required to access all resource tools.] Learn how to factor quadratic expressions.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Integrated Publishing
Chapter 10: Factoring Polynomials
Contains a brief explanation of how to factor polynomials.
Integrated Publishing
Integrated Publishing: Graphical Interpretation of Roots
This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.