Graphing Quadratic Equations

A basic way of solving quadratic equations is by graphic the quadratic equations. Below is an example of how to use graphing to solve quadratic equations. There are graphing calculators to help you with solving quadratic equations.

Solving quadratic equations by graphing

When you first learn how to solve quadratic equations, you often learn the method of graphing quadratic equations. Let's start with the following quadratic equations, for example. We will use the method of graphing to solve the quadratic equations.

The first equation is a quadratic equation whereas the second is a linear equation. We can draw the graph of the two equations below.

From graphing quadratic equations, we find that the intersection points of the two equations are:

x = -4 and x = 3 with the corresponding y= 14 and y = 28.

Graphing quadratic equations is not necessarily the fastest way to solve quadratic equations. Sometimes using the quadratic formula or factoring quadratic equations are faster ways of solving quadratic equations.