Question

Please help me solve the pictured problemFind the midline for f(x)=2cos(3x−5π6)−2.

Answer 1

Given the function:

`f(x)=2cos(3x-(5\pi)/(6))-2`

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

`y=Acos(B(x+C))+D`

Where:

- The Amplitude is:

`|A|`

- The Period is:

`(2\pi)/(B)`

- The horizontal shift is "C".

- The Vertical Shift is "D".

- The midlline is:

`y=D`

In this case, you can identify that:

`D=-2`

Therefore, the midline is: