Transforming graphs: combinations of transformations

12 questions

1. y=\text{f}(x)+a, y=\text{f}(x+a), y={a}\text{f}(x), and y=\text{f}(ax) are all ___ of y=\text{f}(x).
2. Match the notation to its transformation.
3. Match each piece of function notation to a description.
4. y=\text{f}(x) is graphed. Which of these images shows the transformation y=2\text{f}(x)?
5. y=\text{f}(x) is graphed. Which of these images shows the transformation y=\text{f}(x-6)?
6. y=\text{f}(x) is graphed. Which of these images shows the transformation y=-\text{f}(x)?
7. -\text{f}(-x) will transform \text{f}(x) by two __________.
8. y=\text{f}(x) is graphed. Which of these images shows the transformation y=-2\text{f}(x)?
9. y=\text{f}(x) is graphed. Which of these images shows the transformation y=2\text{f}(x)+2?
10. y=\text{f}(x) is graphed. Which of these images shows the transformation y=-\text{f}(x+2)?
11. \text{f}(x)=\text{cos}(x). Where will the marked point be after the transformation y=3\text{f}(2x)?
12. \text{f}(x)=\text{cos}(x). Where will the marked point be after the transformation y=-\text{f}\left({1\over2}x\right)+1? Give your answer in the form (x,y)

License: OGL