15 – Transformations of Functions Calculator Required

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Presentation transcript:

15 – Transformations of Functions Calculator Required Exponential Investigations – Functions 15 – Transformations of Functions Calculator Required

Horizontal translation 1 unit left. Vertical stretch by a factor of 2. Vertical translation 3 units down.

Horizontal translation 3 units right; vertical translation 4 units up. Reflect over y-axis; vertical translation 2 units down. Vertical compression by factor of ½; horizontal translation 2 units right.

13. The graph to the right represents f(x). Which of the graphs below represents f(x) + 2? A B C D

14. The graph to the right represents f(x). Which of the graphs below represents f(x – 2)? A B C D

15. The graph to the right represents f(x). Which of the graphs below represents f(x + 2)? A B C D

16. The graph to the right represents f(x). Which of the graphs below represents –2f(x)? A B C D

17. The graph to the right represents f(x). Which of the graphs below represents f(–2x)? A B C D

18. The graph to the right represents f(x). Which of the graphs below represents 0.5f(x)? A B C D

19. The graph to the right represents f(x). Which of the graphs below represents f(x – 1) + 3? A B C D

20. The graph to the right represents f(x). Which of the graphs below represents 3f(x) + 1? A B C D

21. The graph to the right represents f(x). Which of the graphs below represents f(2x) + 3? A B C D

22. The graph to the right represents f(x). Which of the graphs below represents 2f(x) + 3? A B C D

23. The graph to the right represents f(x). Which of the graphs below represents –f(x) + 3? A B C D