Respuesta :

Given the function:

[tex]f(x)=2cos(3x-\frac{5\pi}{6})-2[/tex]

You need to remember that the General Equation of the Cosine Function is:

[tex]y=Acos(B(x+C))+D[/tex]

Where:

- The Amplitude is:

[tex]|A|[/tex]

- The Period is:

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

- The horizontal shift is "C".

- The Vertical Shift is "D".

- The midlline is:

[tex]y=D[/tex]

In this case, you can identify that:

[tex]D=-2[/tex]

Therefore, the midline is: