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

Amplitude: 1; midline: y = 1Amplitude: 2; midline: y = 1Amplitude: 2; midline: y = 2Amplitude-example-1

1 Answer

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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

User Adam Tegen
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