Respuesta :

Given that you don't provide a graph, I will try to solve this problem using the data written in the question. A cosine function is given by the formula:

[tex]y=Acos(\omega x) \\ \\ where \ A \ is \ the \ amplitude \ and \ \omega \ is \ the \ angular \ frequency[/tex]

According to the statement, the amplitude of this function is equal to [tex]3[/tex]. So we need to find the period that is related to [tex]\omega[/tex] like this:

[tex]\omega=\frac{2 \pi}{T} \\ \\ \therefore \omega=\frac{2 \pi}{\frac{\pi}{4}}=8 \ rad/seg[/tex]

 Accordingly:

[tex]y=3cos(8x)[/tex]

So this graph is shown in the figure below. The frequency of this function is 8 times the frequency of the function [tex]cos(x)[/tex] and the amplitude acts as a scaling factor.
Ver imagen danielmaduroh

periodic functions and trigonometry practice

1. c

2. b

3. c

4. c

5. b

6. d

7. d

8. b

9. b

10. c

11. c

12. a

13. d

14. c

15. d

16. a

17. b

18. d