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Solving Systems Solving Systems of Equations of Equations Graphically Graphically

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Page 1: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more

Solving Systems of Solving Systems of Equations Graphically Equations Graphically

Page 2: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more

Quadratic Equations/ Linear Equations

A quadratic equation is defined as an equation in which one or more of the terms is squared but raised to no higher power. 

A linear equation is defined as an equation in which the highest power is 1

Page 3: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more

Linear - quadratic system

This familiar linear- quadratic system, where only one variable is squared in the quadratic, will be the graph of a parabola and a straight line.  When a parabola and a straight line are graphed on the same set of axes, three situations are possible.

Page 4: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more
Page 5: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more

Solve this problem manually (without graphing calculator):

y = x2 - 4x - 2  y = x - 2    

Page 6: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more

Solve this problem using a graphing calculator:

y = x2 + x - 1  y = -2x + 1 

                                                                                                              

Page 7: Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more

HomeworkHomework

Worksheet

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