PPT-Transformations of the Parent Functions

What is a Parent Function A parent function is the most basic version of an algebraic function Types of Parent Functions Linear fx mx b Quadratic fx x 2 Square Root fx x Exponential fx . 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 The Language of Algebra. Language of algebra. To be able to write an English paper you’re going to have to know just some basic rules of language. For instance, you have to obviously know things such as the alphabet and punctuation.. 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 Lecture 3. Jitendra. Malik. Pose and Shape. Rotations and reflections are examples. of orthogonal transformations . Rigid body motions. (Euclidean transformations / . isometries. ). Theorem:. Any rigid body motion can be expressed as an orthogonal transformation followed by a translation.. 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…. 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. Learning Targets: 8.G.2,8.G.3, 8.G.4. Follow the slides to learn more about transformations. Students should have paper and a pencil for notes at their desk while going through this presentation.. Transformation: a transformation is a change in position, shape or size.. 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?. 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 . 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.