1. 15 – Transformations of Functions Calculator Required
Exponential Investigations – Functions
15 – Transformations of Functions Calculator Required

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

3. 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.

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

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

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

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

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

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

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

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

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

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

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