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1.7 Transformations
of Functions
Essential Question:
How do you write equations and draw graphs for the
simple transformations of parent functions?




                                                     1
Algebra Review!
Ex. 1)  Sketch a graph of the functions.




                                           2
Transformations:




                   3
4
5
6
7
Ex. 4) Sketch a graph of the following function.  Note what the 
parent function is, the transformation, and write the function in 
terms of it's parent function.




                                                                     8
Ex. 5) Sketch a graph of the following functions.  Note what the 
parent function is, the transformation, and write the function in 
terms of it's parent function.




               Rally Coach!
                  A: PF of f(x)
                  B: Transformation of f(x)
                  A: g(x) in terms of f(x)
                  B: PF of h(x)
                  A: Transformation of f(x)
                  B: h(x) in terms of f(x)


                                                                     9
Watch out for f(-x)!
Ex. 6) Graph.




                        10
Assignment:

1.7 p. 79 #5, 10, 17,
18, 21-42 (mult. of 3,
skip 36), 46, 47
                         11

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Transformations of Functions Review