Question

X Find the midline for f(x) = 3 cos – 2. A.y=-2 B.y = 2 c.y = 3 OD.y=0 Reset Selection

Answer 1

INFORMATION:

We have the following function

`f(x)=3cos\text{ }x-2`

And we must find its midline

STEP BY STEP EXPLANATION:

First, to see the midline clearly, we can graph the function

- We can see that the function is cos x multiplied by a factor of three and moved down 2 units

So, the graph would be

Second, we can draw the midline

- The midline of a function is the horizontal line midway between the maximum and minimum values of a function.

Now, we can see that the midline is the blue line. And, analyzing it, we can see that the equation for this line is y = -2 because it is the horizontal line that intercept the y-axis in -2.

Finally, the midline for the given function is y = -2

ANSWER:

A. y = -2