Chapter 4  Quadratic Functions
"This chapter begins with a matching and sorting activity to review the different forms of quadratic functions. Key characteristics of quadratic functions and graphs are identified. Lessons then provide opportunities for students to explore and identify transformations performed on a quadratic function f(x) to form a new function g(x)=Af(B(xC))+D. This transformational function form is introduced in order to abstract the general principle that transformations on a graph always have the same effect regardless of the type of underlying function. In the later part of the chapter, lessons provide opportunities for students to explore and understand what conditions are necessary to write a unique quadratic function. The set of complex numbers is introduced and students will operate with the imaginary number i. Finally, students will solve quadratic functions over the set of complex numbers." Carnegie Textbook 
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Lesson 4.1  Forms of Quadratic Functions
"This lesson provides opportunities for students to review different forms of quadratic functions through a matching and sorting activity."  Carnegie Textbook Lesson 4.2  Translating Functions
"This lesson provides opportunities for students to explore the effects of translations on quadratic functions. The transformational function form g(x)= Af(B(xC))+D is introduced in order to abstract the general principle that transformations on a graph always have the same effect regardless of the type of underlying function"  Carnegie Textbook Lesson 4.3  Vertical Dilations of Quadratic Functions
"This lesson provides opportunities for students to use a graphing calculator to explore the effects of the Avalue in the transformational function g(x)= Af(B(xC))+D."  Carnegie Textbook 
Lesson 4.4  Horizontal Dilations of Quadratic Functions
"This lesson provides opportunities for students to explore the effects of the Bvalue in the transformational function g(x)= Af(B(xC))+D."  Carnegie Textbook Lesson 4.5  Deriving Quadratic Functions
"This lesson provides opportunities for students to explore and understand what information is necessary to write a unique quadratic function."  Carnegie Textbook Lesson 4.6  Complex Number Operations
"This lesson provides opportunities for students to understand how to operate with the imaginary number i."  Carnegie Textbook Lesson 4.7  Quadratics and Complex Numbers
"This lesson provides opportunities for students to analyze various quadratic functions to understand the types of zero in each. Students will solve quadratic functions over the set of complex numbers."  Carnegie Textbook 