Quadratic%20Functions%20and%20Their%20Graphs

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Section 9.1
Quadratic Functions and Their Graphs
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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PROPERTIES

For Parabola
The vertex is at the origin and the y-axis is its
line of symmetry.
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PROPERTIES

For Parabola
If a is positive, the parabola opens upward, if a
is negative, the parabola opens downward.
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PROPERTIES
For Parabola
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PROPERTIES

For Parabola
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PROPERTIES

For Parabola
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PROPERTIES

For Parabola
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Practice Test
Chapter 9Section 9.1A

• Exercise 1

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Opens down.
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Section 9.2
Circles and Ellipses
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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DEFINITION
The Distance Formula
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RULE
Graphing Equation of a Circle

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RULE

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Graphing Equation of an Ellipse Centered at (0,0)
If a and b are equal, the ellipse is a circle.
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Graphing Equation of an Ellipse Centered at (h,k)
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Practice Test
Chapter 9Section 9.2B

• Exercise 9

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Practice Test
Chapter 9Section 9.2C

• Exercise 10

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Section 9.3
Hyperbolas and Identification of Conics
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OBJECTIVES
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OBJECTIVES
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RULES
Graphing Equation of a Hyperbola with Center at
(0,0)

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RULES
Graphing Equation of a Hyperbola with Center at
(0,0)

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Graphing Equation of a Hyperbola with Center at
(h,k)
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Practice Test
Chapter 9Section 9.3A

• Exercise 16

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a 3, b 5
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Section 9.4
Nonlinear Systems of Equations
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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Practice Test
Chapter 9Section 9.4A

• Exercise 18

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Use the substitution method to solve the system.
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Use the substitution method to solve the system.
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Use the substitution method to solve the system.
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Section 9.5
Nonlinear Systems of Inequalities
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OBJECTIVES
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OBJECTIVES
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PROCEDURE

Graphing Nonlinear Inequalities

• Graph each of the
• inequalities on the same
• set of axes.

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PROCEDURE

Graphing Nonlinear Inequalities

2. Find the region common to both graphs.
The result is the solution set.
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Practice Test
Chapter 9Section 9.5A

• Exercise 22

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Vertex (0, 1)
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