Station 1- Translation
Group Review1. Given the graph of y=f (x ), sketch the graph of y=f ( x )−3.
2. Given the graph of y=f (x ), sketch the graph of y=f ( x )+2.
3. f ( x )=x2is graphed below along with its translated graph. Write the equation (function) of the new graph after the transformation.
Station 2- Translation
Group Review
1. Given the graph of y=f (x ), sketch the graph of y=f ( x+5 ).
2. Given the graph of y=f (x ), sketch the graph of y=f ( x−2 ).
Station 3- Reflections
Group Review
1. Given the graph of y=f (x ), sketch the graph of y=−f ( x ).
2. Given the graph of y=√x, sketch the graph of y=−√x . 2.
Station 4- Reflections
Group Review
1. Given the graph of y=f (x ), sketch the graph of y=f (−x ).
2. Given the graph of y=√x, sketch the graph of y=√−x .
Station 5- Stretching/shrinking
Group Review1. Given the graph of y=f (x ), sketch the graph of y=2 f (x ).
x y
16. Given the graph of y=f (x ), sketch the graph of y=12f ( x ).
x y x y
x y
Station 6- Stretching/shrinking
Group Review1. Given the graph of y=f (x ), sketch the graph of y= f (2 x).
x y x y
2. Given the graph of y=f (x ), sketch the graph of y=f ( 12x ).
x y x y
Mixed Transformations of functions1.
2.
3. Let g(x) = 21
f(x – 1). The point A(3, 2) on the graph of f is transformed to the point P on the graph of g. Find the coordinates of P.
In words, what is going to happen to the original graph?
4. The graph of the function y = f (x), 0 x 4, is shown below. On the diagram to the right, draw the graph of y = 3 f (−x).
5.
Given the graph of y=1x , Sketch the graph of y=
1x−4 .
6. Given the graph of y=1x , Sketch the graph of y=
1x+3.
7. Given the graph of y=1x , Explain what would happen to the graph of
y=−3+ 1x+2 .
8.
9. Describe the translation of y=f(x) to y=g(x) that occurred. Then write this using your knowledge of transformations.
10. Exam Style Question:
11. ( ask me for graph paper)
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