2.3-solving quadratic equations by graphing and factoring ... · 2.3solving quadratic equations by...
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2.3Solving Quadratic Equations by Graphing and Factoring.notebook
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December 11, 2013
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2.3Solving Quadratic Equations by Graphing and Factoring
Warm Up
Find the xintercept of each function.
1. f(x)=3x+9
2. f(x)=6x+4
Factor each expression.
3. 3x212x
4. x29x+18
5. x249
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MAKE SURE YOU HAVE YOUR TEXTBOOK TODAY!!!!
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Zero of a Functiona value of the input x that makes the output f(x) equal zero
*The zeros of a function are the xintercepts
Zeros of a Function
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Finding Zeros by Using a Graph or TableFind the zeros of f(x)=x2+2x3 by using a graph and a table
Step 1: Graph the function.
Opens Upward/Downward:
Axis of Symmetry:
yintercept:
vertex:
Step 2: Use Symmetry and a table of values to find additional points.
2.3Solving Quadratic Equations by Graphing and Factoring.notebook
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December 11, 2013
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You try!
Find the zeros of g(x)=x22x+3 by using a graph and a table.
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Another way to find zeros of the function is using Algebra!
To find the zeros of f(x)=x2+2x3, set the function equal to zero.
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The solutions to a quadratic equation of the form ax2+bx+c=0 are roots.
Roots
The roots of an equation are the values of the variable that make the equation true.
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You can find the roots of some quadratic equations by factoring and applying the Zero Product Property.
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Finding Zeros by Factoring
Find the zeros of each function by factoring
A. f(x)=x28x+12
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B. g(x)=3x2+12x
2.3Solving Quadratic Equations by Graphing and Factoring.notebook
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December 11, 2013
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You try!
1. f(x)=x25x6
2. g(x)=x28x
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Practice
Page 82 #'s 117
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