type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction…

Explanation:

Step 1: Find the midline

The midline is the average of the maximum and minimum y-values. The maximum y-value is -0.5 and the minimum y-value is -3.5. [ \text{Midline} = \frac{-0.5 + (-3.5)}{2} = -2 ]

Step 2: Calculate the amplitude

The amplitude is half the distance between the maximum and minimum y-values. [ \text{Amplitude} = \frac{|-0.5 - (-3.5)|}{2} = \frac{3}{2} = 1.5 ]

Step 3: Determine the period

The function completes one full cycle from (-\pi) to (\pi), so the period is the distance between these points. [ \text{Period} = \pi - (-\pi) = 2\pi ]

Answer:

The midline is (y = -2).
The amplitude is (1.5).
The period is (2\pi).