PPT-Section 2.7 Parent Functions and Transformations

A family of graphs is a group of graphs that display one or more similar characteristics The parent graph which is the graph of the parent function is the simplest of the graphs in a family This is the graph that is transformed to create other members in a family of . a 12 22 a a mn is an arbitrary matrix Rescaling The simplest types of linear transformations are rescaling maps Consider the map on corresponding to the matrix 2 0 0 3 That is 7 2 0 0 3 00 brPage 2br Shears The next simplest type of linear transfo 2 . Functions In this section we will discuss how the graph of a function may be transformed either by shifting, stretching or compressing, or reflection. In this section let c be a positive real num Parent / Guardian First Name Parent / Guardian Last Name Who is completing this application? Street Address City ZIP Code Student First Name Student Last Name One Newark Enrolls | 2015 - 2016 Studen Section 1.2 Beginning on Page 11. The Big Ideas. In the previous section we were introduced to families of functions, parent functions, and the graphs of transformations to the parent functions. . In this section we will learn about the effect of transformations on the graphs and rules of linear and absolute value functions. We will be…. Parent / Guardian First Name Parent / Guardian Last Name Who is completing this application? Street Address City ZIP Code Student First Name Student Last Name One Newark Enrolls | 2015 - 2016 Studen Maurice J. . Chacron. and Kathleen E. Cullen. Outline. Lecture 1: . - Introduction to sensorimotor . . transformations. - . The case of “linear” sensorimotor . transformations: . Chapter 8/9 Notes. Part II. 8-5, 8-6, 8-7, 9-2, 9-3. Section 8-5: Greatest Common Factor, Day 1. Factors –. Factoring – . Standard Form Factored Form. Section 8-5: Greatest Common Factor, Day 1. off the grid. Determining Transformations Off The Grid. Is orientation preserved?. No - Reflection. Yes – Rotation, Translation, or Dilation. Is distance preserved?. No - Dilation. Yes – Rotation or Translation. What is a Parent Function. A parent function is the most basic version of an algebraic function.. Types of Parent Functions. Linear f(x) = mx b. Quadratic f(x) = x. 2. Square Root f(x) = √x. Exponential f(x) = . Defn. : . Polynomial function. In the form of: . ..  . The coefficients are real numbers.. The exponents are non-negative integers.. The domain of the function is the set of all real numbers.. Graph: .  . What is the parent function for this graph?. What does the parent function look like?. Shape is a V. Vertex is (0, 0). Slope is 1, opens up. How is the graph above different from the parent function?. Dr J Frost (jfrost@tiffin.kingston.sch.uk. ). www.drfrostmaths.com. . Last updated: . 31. st. August 2015. Recap of functions. f(x) = 2x. f. x. 2x. Input. Output. A function is something which provides a rule on how to map inputs to outputs.. 1.. 6 units down. 2.. 3 units right. (–2, –1). (1, 5). For each function, evaluate . f. (–2), . f. (0), and . f. (3).. 3.. . f. (. x. ) = . x. 2 . 2. x. 6. 4.. . f. (. x. ) = 2. x. 2 . transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine. Graphs in words.. CO: SWBAT generate the graphs of the sine and cosine functions and explore various . transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine.