1.1 Parent Functions and Transformations - WordPress.com
Transcript of 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
Recall:Transformations:Thinkbacktogeometry.WhendoyouuseTransformations?Example2:GraphingandDescribingTranslationsGraph! " = " − 4anditsparentfunction.Thendescribethetransformation Parentfunction:Example3:GraphingandDescribingReflectionsGraph& " = −"'anditsparentfunction.Describethetransformation. Parentfunction:
Tryonyourown:Graphthefollowingequationsandtheirparentfunctions.Thendescribethetransformation.
Verticalstretch/VerticalShrinkHorizontalstretch/HorizontalShrinkExample4:GraphingandDescribingStretchesandShrinksGrapheachfunctionanditsparentfunction.Thendescribethetransformations.
a) ! " = 2 "
b) ℎ " = +'"
'Tryonyourown:(Calculator)Grapheachfunctionanditsparentfunction.Thendescribethetransformations.
Combinationsoftransformations“CanIgetalarge#3withBigMacsauce?”
Example5:Describethetransformation(trytousecontextcluestopredictthegraph)Usingagraphingcalculatorgraph! " = − " + 5 − 3Anditsparentfunction.Describethetransformations.Example6:ModelingwithMathematicsThetableshowstheheightyofadirtbikexsecondsafterjumpingoffaramp.Whattypeoffunctioncanyouusetomodelthedata?Estimatetheheightafter1 01seconds.Homework:3,5,8,9-33odd(calc),45*