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.f(x) = x 2 – 1Parent: ______________________________________Transformations:________________________________y = lxl + 3 Parent: ______________________________________Transformations:________________________________ f(x) = 1x +2 Parent: ______________________________________Transformations:________________________________f(x) = - x2 + 3 Parent: ______________________________________Transformations:________________________________f(x) = Parent: ______________________________________Transformations:________________________________y = - √x -2Parent: ______________________________________Transformations:________________________________f(x) = - x? - 4 Parent: ______________________________________Transformations:________________________________f(x) = - x2 + 1 Parent: ______________________________________Transformations:________________________________f(x) = √x – 4 Parent: ______________________________________Transformations:________________________________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. ___________________________________Linear—vertical shift down 2 ________________________________________________Root —reflection of the x axis, vertical shift down 2._________________________________________Cubic – vertical shift up 3 ________________________________________________________Quadratic— horizontal shift left 8.________________________________________Which graph best represents the function f(x) = 2x2 - 2? 20955011874500146685013779500457200012827000308610014732000a. b. c. d. ................
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