Question

Amplitude: 1; midline: y = 1Amplitude: 2; midline: y = 1Amplitude: 2; midline: y = 2Amplitude: 2; midline: y = 0

Answer 1

The rule of the midline of the trigonometry function

`y=AsinB(x-c)+D`

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

`\begin{gathered} y=(y_(max)+y_(min))/(2) \\ \\ y=(3+-1)/(2) \\ \\ y=(2)/(2) \\ \\ y=1 \end{gathered}`

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

`\begin{gathered} A=(y_(max)-y_(min))/(2) \\ \\ A=(3--1)/(2) \\ \\ A=(4)/(2) \\ \\ A=2 \end{gathered}`

The amplitude is 2

The answer is B