Chapter 5

5.1 Modeling Data with Quadratic Functions:

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5.2 Properties of Parabolas:

Graphing a Parabola of the Form y=ax^2+c
Find the Vertex of a Parabola
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5.3  Transforming Parabolas:

Graphing a Parabola in Vertex Form

5.4 Factoring Quadratic Expressions:

Factoring Quadratic Expressions when a=1 or a=-1
Factoring Difference of Squares
Factoring Perfect Square Trinomials
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5.5 Quadratic Equations:

Solving Quadratics by Factoring
Solving Quadratics by Square Roots
Graphing Quadratics using Roots and Vertex

5.6 Complex Numbers:

Imaginary Number “i”
Simplifying Numbers using “i”
Adding Complex Numbers
Subtracting Complex Numbers
Multiplying Complex Numbers
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5.7 Completing the Square:

Solving by Completing the Square
Changing to Vertex Form by Completing the Square

5.8 Quadratic Formula:

Solving by using the Quadratic Formula
Application – How long does it take to hit the ground?