How Can I Graph THis trigonometric Function?

AI Thread Summary
To graph the functions y = 2 + sin(x) and y = 2sin(x), it's essential to understand how transformations affect the sine wave. Adding 2 shifts the entire graph upward by 2 units, while multiplying by 2 changes the amplitude, making the peaks and troughs twice as high and low. The discussion clarifies that the y-axis remains fixed, and the sine wave's basic format is f(θ) = Asin(θ), where A represents the amplitude. The transformation insights help visualize the sine function's behavior with these modifications. Understanding these principles is crucial for accurately graphing trigonometric functions.
Equilibrium
Messages
81
Reaction score
0
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?
 
Physics news on Phys.org
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:
f(\theta) = Asin(\theta)

"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 f(\theta) = 0 + Asin(\theta)

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