Graph each function using RADIANS. State the amplitude, period and midline

Solution:
For the function:
[tex]y=-2+\sin \theta[/tex]The graph of the function is as shown below:
The Amplitude is the maximum displacement of the graph function from the rest position.
Thus, the amplitude is evaluated as
[tex]\begin{gathered} Amplitude=-1-(-2_{}) \\ =-1+2 \\ Amplitude=1 \end{gathered}[/tex]The period of the function is the distance between any repetition of the function.
Thus,
[tex]\begin{gathered} \text{Period = 2}\pi-\pi \\ \Rightarrow Period=\pi \end{gathered}[/tex]The midline of the function graph is the horizontal line about which the graph function oscillates.
Thus, the midline of the graph is
[tex]y=-2[/tex]