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Kutay

University
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Oct 20, 2004
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Castle Hill
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2005
Hey i was wondering what this graph would look like ??

y = 3 sin (x - theta / 2)
for -theta <(orequal) x <(orequal) theta
 

Miikke

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Aug 18, 2004
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2005
yup..

its a normal sin curve except:

the amplitude (the height) is 3 so the tip and bott0m of the curve goes to 3 and -3.

[the domain:

-theta=<x-theta/2=<theta
-2theta=<2x-theta=<2theta
-theta=<2x=<3theta
-theta/2=<x=<3theta
] er...i dont think what i just typed for the domain is relavent..

umm for period its 2pi/(x-theta/2) i THINK..will some maths pro coorect me:D im the worse grapher in grammar..
 
Last edited:

|Axis_

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Sydney
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2003
|Axis_ said:
For f(x) = M+Acos(Bx+C) = M+Acos[B(x+C/B)]

the graph of y=f(x) is like the cos graph you know, except that:

Amplitude = |A|
Period = |2pi/B|
The graph is shifted up by M (or down if M is negative)
The graph if shifted left by C/B (or right if C/B is negative)
If A is negative then remember that the shape of the graph is like upside-down cos.
You can replace "cos" by "sin" above.
 

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