INFORMATION:
We have the following function
[tex]f(x)=3cos\text{ }x-2[/tex]
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
