Parent Function Worksheet 1



Parent Graphs & TransformationsFor problem 1- 6, please give the name of the parent function and describe the transformation represented. You may use your graphing calculator to compare & sketch the parent and the transformation.g(x) = x 2 – 1Parent: ________f(x)=x2________Quadratic_________Transformations:___down 1 unit___________________f(x) = Parent: ________________f(x)+ |x|______Absolute Value___________Transformations:_____Right 1 , Horizontal Compression of 2__________ h(x) = Parent: ______y =x____Radical function ( square Root)__________Transformations:_______down 2, reflection across y-axis___________g(x) = -2(x+1)2 + 3 Parent: __________y=x2_ Quadratic_______________Transformations:__left 1 unit, up 3 units, reflection and horizontal compression of 2g(x) = Parent: ____y =x Linear_________________________Transformations:___down 2, reflection, horizontal compression of 3________OR y-intercept of -2, slope of -31f(x) = - 2Parent: __________ f(x)+ |x|______Absolute Value___Transformations:____left 5 units, down 2 units________h(x) = Parent: _____________ y=x3_ Cubic _____________Transformations:________right 2 units, up 4 units_____h(x) = - x2 + 1 Parent: _________________ y=x2_ Quadratic _____Transformations:___up one unit and reflected_______h(x) = Parent: _____ f(x)+ |x|______Absolute Value _______Transformations:___right 2 units and reflection_______For problems 10 – 15, given the parent function and a description of the transformation, write the equation of the transformed function, f(x).Absolute value—vertical shift up 5, horizontal shift right 3. _________fx=x-3+5_________Linear—vertical shrink by ____________f(x) =25 x ____________________________________Root —reflected over the x axis, vertical shift down 2.__________f(x)= -x-2___________________Exponential—vertical stretch by 8 ______f(x)=8?nx________________________________________Quadratic—vertical stretch by 5, horizontal shift left 8.__ f(x)=5(x+8)2______________________Which graph best represents the function f(x) = 2x2 - 2? 12858754064015906751377950020955011874500457200012827000308610014732000a. b. c. d. ................
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