Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

y= -7 sec x

The answer is (c)

Step-by-step explanation:

* Lets study the problem

∵ The basic function is y = sec(x)

∵ y = -7 sec(x)

∴ It is a vertical stretch or compression because y is multiplied by -7

* Lets revise the vertical stretched and compression

- If the function is f(x), and a new function is g(x) = a f(x)

- Then there is a vertical stretch or vertical compression

  of the function f(x)

# If a > 1, then the graph will be stretched.

# If 0 < a < 1, then the graph will be compressed.

# If  a < 0, then there will be combination of a vertical stretch

  or compression with a vertical reflection.

∵ a = -7 ⇒ a < 0 and I-7I = 7 > 1

∴ There is a combination between vertical stretching and

  vertical reflection

* That means there is a reflection across the x-axis and

  vertical stretch by scale factor = 7

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068