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A sine function has the following key features:

Frequency = 1/8π

Amplitude = 6

Midline: y = 3

y-intercept: (0, 3)

The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

 Jan 26, 2019
 #1
avatar+109519 
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A sine function has the following key features:

Frequency = 1/8π    I assume you mean  (1/8)pi   ?

Amplitude = 6

Midline: y = 3

y-intercept: (0, 3)

The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

 

There are 2 answers 

\(y=6sin(2x*8)+3\)

or

\(y=-6sin(2x*8)+3\)

 

Here are the graphs

https://www.desmos.com/calculator/qjnihi1srn

 Jan 26, 2019

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