23. (04.05) Which statement best describes the effect of replacing the function f(x) = 2 ^x-2 with the function g(x) = 2 ^x+3

The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.

The graph shifts 5 units left

Step-by-step explanation:

The given functions are;

f(x) = , g(x) =

Therefore, we have;

When x = 2, f(2) = = 1  and g(2) = = 32

When x = 3, f(3) = = 2  and g(3) = = 64

When x = 6, f(6) = = 16  and g(6) = = 512

When x = 7, f(7) = = 32 and g(7) = = 1024

When x = 8, f(8) = = 64  and g(8) = = 2,048

Therefore, the y-value of f(x) obtained at x = 8, is obtained by g(x) at x = 3, and the graph is shifts(ed) 5 units left.

44

step-by-step explanation:

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