# Quadratic equations and functions

Contents

Learn how to solve quadratic equations, and how to analyze and graph quadratic functions.

18 exercises available

In this tutorial you will learn about the most basic way of solving quadratic equations.

In this tutorial, you'll learn some pretty elaborate ways of solving quadratic equations, by harnessing the mighty strength of algebra.

You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.

Learn how to solve any quadratic equation with the most general tool of all, the quadratic formula!

Learn about the features of quadratic functions, and how to find them given the formula of the function. Also learn about the different forms of quadratic functions: standard, vertex, and factored.

In this tutorial, we will learn how to graph quadratic functions given in different forms.

Learn how function transformations affect the graphs of quadratic functions.

Use all the knowledge you gained about quadratic equations and functions in order to solve some word problems about real world contexts that are modeled by quadratic functions.

Learn how to solve systems of two equations in two variables, where at least one of the equations is quadratic.