In this lesson I will teach you how to graph a quadratic equation. Graphing is so important in mathematics because we can study a visual model of various functions. The basic shape of a quadratic equation is called a “parabola” and it looks like a “U”. What I will be showing you in the lesson is how to find the vertex (the point at the very top/bottom of the parabola) and other characteristics of the graph. Now, if you have a graphing calculator (like a TI-83) I encourage you to learn how to use it’s graphing capabilities and double check your work. Of course, you need to know how to graph quadratic equations without a calculator so I suggest using graph paper when you practice. As the chapter on quadratic functions continues, you will see how graphing a quadratic equation will explain many details about the type of solutions the equation contains.