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I already solved 1-4, but I need help with 5. 

 

A marching band performs on the football field at half-time. As they perform, the members of the band stand in the shape of a sinusoidal function. While playing, they move, but still maintain the sinusoidal function, transforming it in different ways.

 

Darla is a member of the marching band. As the band begins to play she is positioned in the exact center of the field. The person closest to her on the same horizontal line, stands 10 yards away. The sinusoidal function extends to the ends of the playing field.

 

The playing area of football field measure 300 feet by 160 feet. Place the playing area of a football field on the coordinate plane such that the origin is the lower left corner of the football field.

 

 

1.     What is the period and the amplitude of the sine function representing the position of the band members as they begin to play?

 Answer:  Amplitude is 80 ft, period is 60 ft.

 

2.     Edna is sitting in the stands and is facing Darla. Edna observes that sine curve begins by increasing at the far left of the field. What is the equation of the sine function representing the position of band members as they begin to play?

Answer:  y = 80cos(x*π/30)+80

 

3.     As the band begins to play, band members move away from the edges, and the curve reverses so that the function begins at the far left by decreasing. Darla does not move. The sine curve is now half as tall as it was originally. What is the equation of the sine curve representing the position of the band members after these changes?

Answer: y = 40cos(x*π/30)+80

 

4.     Next, the entire band moves closer to the edge of the football field so that the sine curve is in the lower half of the football field from Edna’s vantage point. What is the equation of the sine curve representing the position of the band members after these changes?

Answer:  y = 40cos(x*π/30)+40

 

 

5.     At the end of the performance, the band marches off the field to the right, moving the entire sine curve. Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line. What is the equation of the sine curve representing the position of the band members in Asa’s picture?

Answer:

 Mar 9, 2020
 #1
avatar+108625 
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This is my understanding of the scenario.

 

Some of your answers are incorrect.  Could you check them please and then get back to us.

 

 Mar 9, 2020
edited by Melody  Mar 9, 2020
 #2
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okay, for 2 I changed it to y=80cos(x*π/30 + π) + 80

for 3 I changed it to y=80cos(x*π/30-π)+80

for 4 i didnt change it. The graph looks kinda similar to yours, but without 4 added. 

 Mar 9, 2020
 #3
avatar+108625 
+1

Are you the guest that asked the question?

If you are can you join soon so that we know who we are talking to.

 

What is the period of this curve.  Not from your pic, which is incorrect, but from the information given.

 

Your amplitude and vertical shift are correct.

Also remember you were told that the centre of the field is on the curve and that it stays on the curve.

It is not on the curve in any of your graphs.

 Mar 9, 2020
edited by Melody  Mar 9, 2020

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