PeerlessCucumber

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UsernamePeerlessCucumber
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Questions 14
Answers 48

 #54
avatar+130 
+1

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Question 1-

 

Desmos Graph: https://www.desmos.com/calculator/0ozgnesvrp  (From checking afterward.)

 

a) Midline: y = -1

b) y-intercept: -1

c) Wavelength: π

d) Amplitude: 1

e) Does it start going up or down?: It begins moving upwards. 

f) What is the equation?: y = 1 sin x -1

 

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Question 2-

 

Desmos Graph: https://www.desmos.com/calculator/ig7vrwjg8m  (From checking afterward.)

 

a) Midline: y = 4

b) y-intercept: 4

c) Wavelength: π

d) Amplitude: 1

e) Does it start going up or down?: It begins moving downwards. 

f) What is the equation?: y = -1 sin x + 4

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Feb 2, 2020
 #50
avatar+130 
+1

Equation: y = sin x   

 

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

a) Midline: y = 0

b) y-intercept: 0

c) Wavelength: 

d) Amplitude: 1

 

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Equation: y = -sin  

 

https://www.desmos.com/calculator/pqi9uqbmyf

 

a) Midline: y = 0

b) y-intercept: 0

c) Wavelength: 

d) Amplitude: -1 (?)      No, the amplitude is always positive. It stays +1

 

         What I see from both of these graphs is they share similar properties almost entirely, except for the second graph being flipped. With that said, does that mean the amplitude will be considered -1? Or will it remain a positive always? Either way, they're incredibly similar graphs, but one appears to be flipped because of the negative. 

 

EXCELLENT.   If you times by minus -1 the graph flips over, (It reflects across the y axis)

 

 

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Equation: y = 3 sin x

 

https://www.desmos.com/calculator/uluaswag14

 

a) Midline: y = 0

b) y-intercept: 0

c) Wavelength: 

d) Amplitude: 3

 

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Equation: y = -3 sin x

 

https://www.desmos.com/calculator/qw3tpmqfhq

 

a) Midline: y = 0

b) y-intercept: 0

c) Wavelength:

d) Amplitude: -3 (?)      +3

 

         Similarly, comparing these two graphs, the only noticeable difference is that the figure appears to be flipped because of the negative. Once again, I'm not sure if amplitude should ever be written in negatives, and if not, then the answer should be just the definite form of what is already written, I assume. I hope these are correct. 

 

That is all great, you are learning really well.

Feb 1, 2020
 #48
avatar+130 
0

y= 4(sinx)-3       (I added the equation so it is with the answers - Melody)

 

a) Midline: y = -3

b) y-intercept: -3

c) Wavelength: 2π

d) Amplitude: 4?

 

This is the graph from afterward. 

https://www.desmos.com/calculator/0znoabjdqu

 

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Melody:

I am here now so I willl add my response here.

 

Your answer is spot on.

You seem hesitant about amplitude:

Yes it is 4 and you can see that on the formula.

To get it from the graph find the highest y value and subtract the lowest y value and then halve it.  (+1--7)/2 = 8/2 = 4

Or

get the highest y value and subtract the midline y value.     In this case     +1 -  - 3 = 1+3=4

 

Make sure you underst this from the graph.

 

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New question:    Get this one right and I will move onto a slightly new idea.  

y=6+8sinx

what will be

a) midline

b) y intercept

c) wavelength

d) amplitude

 

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Peerless Cucumber: *Wave*

 

y=6+8sinx

 

a) Midline: y = 6

b) y-intercept: 6

c) Wavelength: 2π

d) Amplitude: 8

 

https://www.desmos.com/calculator/2miu9weqtv

Here is the graph!

Jan 31, 2020
 #46
avatar+130 
+1

https://www.desmos.com/calculator/gg71ka6oqn

 

a) Midline: y = 5

b) y-intercept: 5

c) Wavelength: 2π

d) Amplitude: 1

 

These all are somewhat similar to y = sin x, however, when it becomes +5, it merely moves up 5 on the graph, and the logic seems consistent when replaced by a 2, 3, or any other number, for example. Whereas by changing the number it is multiplied by effects the amplitude?   

Jan 30, 2020
 #44
avatar+130 
0

https://www.desmos.com/calculator/st3p7tcuro

 

a) Midline: y = 0

b) y-intercept: 0

c) Wavelength: 2π

d) Amplitude: 10

 

think​ these are correct. I'm getting a little more confident in them. laugh

Jan 30, 2020