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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

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

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Tryonyourown:Graphthefollowingequationsandtheirparentfunctions.Thendescribethetransformation.

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Verticalstretch/VerticalShrinkHorizontalstretch/HorizontalShrinkExample4:GraphingandDescribingStretchesandShrinksGrapheachfunctionanditsparentfunction.Thendescribethetransformations.

a) ! " = 2 "

b) ℎ " = +'"

'Tryonyourown:(Calculator)Grapheachfunctionanditsparentfunction.Thendescribethetransformations.

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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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