Sinusoids

hi Special,
I am thinking about your question but i want you to use
Desmos Graphing Calculator
https://www.desmos.com/calculator
It is an online calculator but I am not sure if you need to download anything to use it.
Could you check please.

also, do you want do use degrees or radians?
If you are really comfortable with radians it is probably better to use them.
but if you are not (or maybe you don't even know what I am talking about) we will use degrees.

Melody.

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Hi Special

Consider y=sin(x)
This is the most basic of sine funtions.
It has an amplitude of 1 and a wavelength of 2pi radians (360degrees)
Amplitude is the distance from the centre of the wave to the highest point (resting point to peak)
Wavelength (the symbol is the upside down y thing called Lambda) is the distance the wave travels in one cycle.

Now look at a slightly more complicated one
y=Asin(Bx)
This time the amplitude is A
and the wavelength is 2pi / B

Do you need more than this?

https://www.desmos.com/calculator/nzql7i9y90
I've set the sliders for A=1 and B=1 you can move them to see what happens if A and B have different values.

Let me know if this helps you to understand. or if you want me to show you something different.
Edited: I just realised that you wanted horizontal shift.
I added in a horizontal phase shift. (The actual phase shift is C/B)
so
I have used the formula Y=Asin(Bx-C)
To get the phase shift I think it is easier to think of it as Y=Asin[ B (x-C/B) ]
If C is positive then -C will move the graph in the pos direction and +C will move it in a negative direction.
https://www.desmos.com/calculator/ibwmyzjshm
Remember, if you want the slider value to be pi you will need to enter 3.14159 but it only deals with one dec place so I guess that is 3.1

Desmos is great for checking graphs that you draw and for helping you with problems.
Here is another page I found if you want different help.
http://www.regentsprep.org/Regents/math/algtrig/ATT7/phaseshift.htm

Melody

Thanks Melody! I was having trouble focusing yesterday and I just couldn't wrap my head around what I was reading. I'll have to practice with reading the equations more to figure out how to graph them without a calculator. Thanks again! ^_^

These question is hard for my brain to comprehend. You silly humans come up with ridiculous language of code. What does it mean in code? It is secret message you two share? teach me humans? for my mom told me Im no human nor animals nor robot. Im not from here so please teach me the code for so I can speak as well.

Sinusoids: is a curve described by the equation y = a(sin x), the cordinate being proportional to the sine of the abscissa.

Lilyahna:

These question is hard for my brain to comprehend. You silly humans come up with ridiculous language of code. What does it mean in code? It is secret message you two share? teach me humans? for my mom told me Im no human nor animals nor robot. Im not from here so please teach me the code for so I can speak as well.

Serjio: Sinusoids: is a curve described by the equation y = a(sin x), the ordinate being proportional to the sine of the abscissa.

What does that mean? I don't know math, or what of this code is called. My people ask to me to put questions on here so i do so, i dont ask them my people do. You are my people, who speak of this language......for Im robot...a machine

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Hi again Special,
I hope you had a look at my Desmos graphs. That is really a great program to use in many different graphing situations.
However, maybe it was a bit too technical for your needs in this question.

I want to try and explain better.
Say you want to graph y=sin(x+pi/3)
The phase shift would be the answer to
x+pi/3 = 0
x = -pi/3
That is, it will move pi/3 units in a negative direction.

If I was going to draw this with a pencil, I would start by drawing y =sinx
then I would phase shift it by taking a few more obvious points like the ones on the x axis and the peaks and the troughs and translate them pi/3 to the left.
Once you have a few points you can join them up and then you will have your new graph.
I've tried to show you what I mean on a more simple graph.
If you have any specific graphs that you need to draw, let me know and I will walk you through the process.
I hope that you find this more helpful.
140108 phase shift sine curve.JPG