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

Explanation:

Step1: Find the mid - line

The mid - line of a periodic function is the horizontal line that the function oscillates around. It is the average of the maximum and minimum values. The maximum value of the function from the graph is $y = - 0.5$ and the minimum value is $y=-3.5$. The mid - line $y=\frac{-0.5+( - 3.5)}{2}=\frac{-0.5 - 3.5}{2}=\frac{-4}{2}=-2$.

Step2: Calculate the amplitude

The amplitude of a periodic function is the distance from the mid - line to the maximum or minimum value. The maximum value is $y=-0.5$ and the mid - line is $y = - 2$. Amplitude $A=\vert-0.5-( - 2)\vert=\vert-0.5 + 2\vert = 1.5$.

Step3: Determine the period

The period of a periodic function is the horizontal distance between two consecutive identical points on the graph. From the graph, we can see that the function repeats itself over a horizontal distance of $2\pi$.

Answer:

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