Chapter 12 - Introduction to Quadratic Functions"This chapter examines the graphical behavior of quadratic functions, including domain, range, increasing and decreasing, absolute maximum and absolute minimum, symmetry, and zeros. The relationship between the form of a quadratic function and the graph of a quadratic function is discussed, especially the key graphical characteristics identified from the form of the quadratic function. Transformations and dilations of quadratic functions are explored."
Carnegie Textbook |
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Lesson 12.1 - Exploring Quadratic Functions
"This lesson provides two real world situations for students to model quadratic functions and explore the graphical behavior. A graphing calculator is then used to determine the absolute maximum or absolute minimum." - Carnegie Textbook Lesson 12.2 - Comparing Linear and Quadratic Functions
"This lesson explores the first and second differences of linear and quadratic functions. Students will analyze tables and graphs of different functions to identify the function type." - Carnegie Textbook Lesson 12.3 - Domain, Range, Zeros, and Intercepts
"This lesson provides a real world situation that models vertical motion. Questions ask students to identify the domain, range, zeros, and intervals of increase and decrease." - Carnegie Textbook Lesson 12.4 - Factored Form of a Quadratic Function
"This lesson provides opportunities for students to understand the significance of a quadratic function written in factored form." - Carnegie Textbook |
Lesson 12.5 - Investigating the Vertex of a Quadratic Function
"This lesson provides opportunities for students to understand the significance of the line of symmetry with respect to quadratic functions." - Carnegie Textbook Lesson 12.6 - Vertex Form of a Quadratic Function
"This lesson provides opportunities for students to identify and compare the key characteristics of a quadratic function written in standard form, factored form, and vertex form." - Carnegie Textbook Lesson 12.7 - Transformations of Quadratic Functions
"This lesson presents the basic quadratic function and investigates transformations and dilations of that function." - Carnegie Textbook |
