The rule of the midline of the trigonometry function
[tex]y=AsinB(x-c)+D[/tex]
Is 1/2 the sum of the maximum and minimum values of y
From the attached picture we can see that
The maximum value of y is 3
The minimum value of y is -1
Then the equation of the midline is
[tex]\begin{gathered} y=\frac{y_{max}+y_{min}}{2} \\ \\ y=\frac{3+-1}{2} \\ \\ y=\frac{2}{2} \\ \\ y=1 \end{gathered}[/tex]
Then the answer should b A or B
To find the amplitude find 1/2 the difference between the maximum and the minimum values of y
[tex]\begin{gathered} A=\frac{y_{max}-y_{min}}{2} \\ \\ A=\frac{3--1}{2} \\ \\ A=\frac{4}{2} \\ \\ A=2 \end{gathered}[/tex]
The amplitude is 2
The answer is B
