Respuesta :

Step-by-step explanation:

4 is the A or Ampltiude

To find the period set it equal to 2 pi/B

[tex] \frac{2\pi}{b} = \frac{6}{1} [/tex]

[tex] \frac{b}{2\pi} = \frac{1}{6} [/tex]

b=

[tex] \frac{2\pi}{6} [/tex]

b=

[tex] \frac{\pi}{3} [/tex]

There is no phase shift

The midline or d or vertical shift is 1.

Our equation for 8 is

[tex]4 \sin( \frac{\pi}{6} x) + 1[/tex]

9.Use sin function. The a value is 2 or -2 your choice.

Set up the period equal to the equation

[tex] \frac{2\pi}{b} = \frac{\pi}{3} [/tex]

[tex] \frac{b}{2\pi} = \frac{3}{\pi} [/tex]

[tex]b = \frac{3}{\pi} \times 2\pi[/tex]

Which equal 6.

B=6

There is no C and the D and Vertical Shift is 1.

Our equation is

[tex]2 \sin(6x) + 1[/tex]