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)