1.1 parent functions and transformations - wordpress.com

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Chapter 1 Linear Functions 1.1 Parent Functions and Transformations Do Now: Classify each function as; constant, linear, absolute value, quadratic, square root, cubic, reciprocal, or exponential Thinking back. What is a function? What does it mean to be a parent function? What is Domain and Range? Example 1: Identifying a Function Family Identify the function family to which f belongs. Compare the graph of f to the graph of its parent function iPad Activity – DESMOS

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Page 1: 1.1 Parent Functions and Transformations - WordPress.com

Chapter1LinearFunctions

1.1 ParentFunctionsandTransformationsDoNow:Classifyeachfunctionas;

constant,linear,absolutevalue,quadratic,squareroot,cubic,reciprocal,orexponential

Thinkingback.Whatisafunction?Whatdoesitmeantobeaparentfunction?WhatisDomainandRange?Example1:IdentifyingaFunctionFamilyIdentifythefunctionfamilytowhichfbelongs.ComparethegraphofftothegraphofitsparentfunctioniPadActivity–DESMOS

Page 2: 1.1 Parent Functions and Transformations - WordPress.com

Recall:Transformations:Thinkbacktogeometry.WhendoyouuseTransformations?Example2:GraphingandDescribingTranslationsGraph! " = " − 4anditsparentfunction.Thendescribethetransformation Parentfunction:Example3:GraphingandDescribingReflectionsGraph& " = −"'anditsparentfunction.Describethetransformation. Parentfunction:

Page 3: 1.1 Parent Functions and Transformations - WordPress.com

Tryonyourown:Graphthefollowingequationsandtheirparentfunctions.Thendescribethetransformation.

Page 4: 1.1 Parent Functions and Transformations - WordPress.com

Verticalstretch/VerticalShrinkHorizontalstretch/HorizontalShrinkExample4:GraphingandDescribingStretchesandShrinksGrapheachfunctionanditsparentfunction.Thendescribethetransformations.

a) ! " = 2 "

b) ℎ " = +'"

'Tryonyourown:(Calculator)Grapheachfunctionanditsparentfunction.Thendescribethetransformations.

Page 5: 1.1 Parent Functions and Transformations - WordPress.com

Combinationsoftransformations“CanIgetalarge#3withBigMacsauce?”

Example5:Describethetransformation(trytousecontextcluestopredictthegraph)Usingagraphingcalculatorgraph! " = − " + 5 − 3Anditsparentfunction.Describethetransformations.Example6:ModelingwithMathematicsThetableshowstheheightyofadirtbikexsecondsafterjumpingoffaramp.Whattypeoffunctioncanyouusetomodelthedata?Estimatetheheightafter1 01seconds.Homework:3,5,8,9-33odd(calc),45*

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Page 7: 1.1 Parent Functions and Transformations - WordPress.com

Page 8: 1.1 Parent Functions and Transformations - WordPress.com

Exploring Transformations of Parent Functions

Worksheet 2.4 Parent Functions & Transformations No

Parent functions and Transformations

Algebra-2 Graphical Transformations. Parent Function: The simplest function in a family of functions (lines, parabolas, cubic functions, etc.)

1 Linear Functions - Big Ideas Learning · 2016. 4. 25. · 1 Linear Functions SEE the Big Idea 1.1 Parent Functions and Transformations 1.2 Transformations of Linear and Absolute

TRANSFORMATIONS OF QUADRATIC FUNCTIONS...TRANSFORMATIONS OF QUADRATIC FUNCTIONS 1. )The quadratic parent function ( (𝑥=𝑥2)was transformed to 𝑥=𝑥2−14. Which of the following

Functions: Transformations and Graphs - PMT€¦ · C1 Functions – Transformations and Graphs C1 Functions: Transformations and Graphs – Questions 10 . 10. (a) On the same axes

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1 Linear Functions - Big Ideas Learning Linear Functions SEE the Big Idea 1.1 Interval Notation and Set Notation 1.2 Parent Functions and Transformations 1.3 Transformations of Linear

Day 11 Transformations of Parent Functions (3).notebook€¦ · YWBAT transform basic "parent" functions. Do Now: Page 43 HW: Pages 47-48 *Test next Wednesday or Thursday* Day 11

Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

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PARENT FUNCTIONS & TRANSFORMATIONS. Parent functions are common functions of algebra that we. A is when we, or a graph. The graph maintains the same

Graphing Reciprocal Functions 33 22 11 Parent Function & Definitions Transformations Practice Problems

Transformations of the Parent Functions

Parent Functions and Transformations. Parent Graphs In the previous lesson you discussed the following functions: Linear Quadratic Cubic, Square root

1 Linear Functions - NEW WEBSITE! …mathwithmsruddy.weebly.com/uploads/3/7/1/5/... · 1 Linear Functions SEE the Big Idea 1.1 Parent Functions and Transformations 1.2 Transformations

1.7 Transformations of Functions€¦ · 74 Chapter 1 Functions and Their Graphs Shifting Graphs Many functions have graphs that are simple transformations of the parent graphs summarized

Parent Functions and Transformations Section 1.1 beginning on page 3

Worksheet 2.4 Parent Functions & Transformations No ...schools.nbisd.org/upload/page/0652/Transformation Activity.pdfWorksheet 2.4—Parent Functions & Transformations Show all work

Graphing I: Transformations and Parent Functions Notes · PDF fileGraphing I: Transformations and Parent Functions ... (Other parent functions include trig ... a horizontal shift "left

Lesson #26 Intro to Transformations on Functions...- 7 - Last unit we also learned the domain and range for each of the parent functions. These values can change after transformations,

CCommunicate Your Answerommunicate Your Answer · Section 1.1 Parent Functions and Transformations 3 1.1 Parent Functions and Transformations ... 1. COMPLETE THE SENTENCE …

Parent Function Transformations

100 200 300 400 4.3 Parent Functions 4.4 Transformations 4.5 Inverse Functions 4.6 Average Rate of Change Secondary Math 2 4.1/4.2 Functions 500 600 100

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1 EXPLORATION: Identifying Basic Parent Functions€¦ · 1.1 Parent Functions and Transformations(continued) Name _____ Date _____ g. h. Communicate Your Answer 2. What are the characteristics

Transformations Day 1 The Six Parent Functionscoachgriffin.weebly.com/.../day_1_-_parent_functions.pdfTransformations Day 1 The Six Parent Functions PART I: Parent Functions and FAMILIES

Graphing I: Transformations and Parent Functions · Transformations and Parent Functions The "stretch" (or "shrink"): a This transformation expands (or contracts) the parent function

CHAPTER 8 Graphing Quadratic Functions · Characteristics of Quadratic Functions The parent quadratic function is f .x x = 2 The graphs of all other quadratic functions are transformations

Unit 3 Functions (Linear and Exponentials) Parent Functions and Transformations

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Parent Functions and Transformations Graph the parent ... Parent... · 3 transformations notes.notebook 2 January 28, 2014 6. y= 2x 7. y=½ x 8. y= 3x 9. y= ¼ x Graph the parent

1.5 Parent Functions and Transformations

1 Linear Functions - mtoliveboe.org · 1.1 Parent Functions and Transformations EEssential Questionssential Question What are the characteristics of some of the basic parent functions?