# Graphing Linear Quadratic Systems Worksheets

How to Graph Linear Quadratic Systems We all have studied quadratic equations quite a few times. A quadratic equation is used in many complex problems to simplify them. A quadratic equation can be written as ax 2 + bx + c, where a = 0 To solve a quadratic equation, there are three methods to follow: factoring method, the quadratic formula method, and completing the square method. Factoring - Leaving zero on one side, take all the terms on one side: Now Factor. Set each factor to zero and solve each of these equations. Now make sure that the equation is satisfied by putting the answer in the original equation. Plotting the Equations - We can plot them manually or use a tool like the Function Grapher. To plot them manually: make sure both equations are in "y=" form, choose some x-values that will hopefully be near where the two equations cross over, calculate y-values for those x-values, plot the points and see!

• ### Basic Lesson

Guides students through the beginner skills of Graphing Linear Quadratic Systems. Choose this new x value as the center of a domain for graphing parabola. Make a chart of values. Three values are usually tested above and below this x-value.

• ### Intermediate Lesson

Demonstrates how to use advanced skills to tackle Graphing Linear Quadratic Systems problems. For this equation, , the center is at the origin, (0,0) and the radius is the square root of 16 i.e. 4.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Graphing Linear Quadratic Systems.

• ### Independent Practice 2

Students use Graphing Linear Quadratic Systems in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Graphing Linear Quadratic Systems.

• ### Skill Quiz

This tests the students ability to understand Graphing Linear Quadratic Systems.