How Can I Graph THis trigonometric Function?

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Discussion Overview

The discussion revolves around how to graph specific trigonometric functions, particularly y = 2 + sin(x) and y = 2sin(x), with participants seeking clarification on the effects of adding and multiplying values to the sine function. The scope includes conceptual understanding and graphical representation of these functions.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants inquire about the graphical representation of y = 2 + sin(x) and y = 2sin(x), seeking ideas on how to approach the graphing process.
  • One participant suggests that adding 2 to the sine function shifts the graph vertically, but expresses confusion about the implications of this transformation.
  • Another participant emphasizes that adding 2 does not move the y-axis itself, indicating a misunderstanding about the graph's behavior.
  • A participant introduces the concept of amplitude in relation to the sine function, questioning how changes to the amplitude affect the graph.
  • Links to external resources are shared to assist in understanding the graphing of sine functions, with some participants reflecting on the content of these resources.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the transformations of the sine function. There is no clear consensus on the implications of adding or multiplying values to the sine function, and some misunderstandings about the movement of the graph and the y-axis persist.

Contextual Notes

Some participants appear to lack clarity on the basic properties of sine functions and their transformations, leading to confusion about the graphical outcomes of the discussed functions. There are also references to external links that may contain additional information relevant to the discussion.

Equilibrium
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Cud u Help Me How to Graph these?
y = 2 + sinx ; where x = teta
y = 2sinx ; where x = teta

cud u give me some ideas pls?
 
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Equilibrium said:
Cud u Help Me How to Graph these?
y = 2 + sinx ; where x = teta
y = 2sinx ; where x = teta

cud u give me some ideas pls?

Do you know how to graph the function y = sinx ?

If you do then what does adding 2 to the y value of that function do to its graph. Similarly for multiplication.
 
it would look like this one
http://jwilson.coe.uga.edu/EMT668/EMAT6680.2001/Mealor/writeup1/assignment 1.html
but i still don't understand why...
Waaaaa~
My problem is that what would it look like when i add 2 and multiply 2?

Edit:
oh yeah when u add 2, the y - axis would move from 0 to 2...
the only problem i have is that how come that is the sine wave?
how to prove it?

Edit number two:
I see... so that's what it is... http://www.ies.co.jp/math/java/samples/graphSinX.html
so meaning when the waves move its going to show a rotation of a circle
..,... so how would it look like when i multiply it by 2 or add by 2?
 
Last edited by a moderator:
Look in the first link you posted. It tells you what happens when you multiply by 2.

BTW, when you add 2, it's not the y-axis that moves. The y-axis does not move. Ever.
 
First of all, why is this in the Engineering homework section?

Secondly, did you read the link you posted? You ask what the plot looks like when you multiply the sin function by 2 and when you add 2 to the sin function.

Do you know what the basic format of the sin fuction is? it is:
[tex]f(\theta) = Asin(\theta)[/tex]

"A" is the amplitude of the function and is a MULTIPLIER. So what happens to the amplitude of the sin wave when you change the value of A?

To give you a hint as to the addition problem, think of the sin function like this: When you graph the plain sin function, the waveform starts and ends at the horizontal axis, right? In that case the function could be written as [tex]f(\theta) = 0 + Asin(\theta)[/tex]

Now, what do you think that changing the 0 to a 2 does?
 

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