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fosmanali01 fosmanali01
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11 years ago
A sinusoidal function passes through ( 0, 2 ), has a maximum point at ( 20º, 5 ), and a minimum point at ( 60º , -1 ).

1. Determine the amplitude, period, and range of this function.


2. Determine a possible sine function with these characteristics.


3. Determine a possible cosine function with these same characteristics.
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#1
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11 years ago
HI fosmana, to create the function, the equation should consist of f(x)=asinb(x-c)+d or f(x)=acosb(x-c)+d

a=Amplitude
b=affects the period , Period= 2π/b
c=horizontal shift
d=vertical shift

To find the amplitude of your equation, from the middle of your graphed function you count up or down until you reach where the point has stopped.

To find your b value you must find the period first! By counting from one period of the function to the other. Then you must solve for b in the equation 2π/b= period.

To find the horizontal shift you would use the original sin or cos and see how many points it moves horizontally. And remember (x-#) means that the # moves right.

The d value is very easy to figure out. You just find the middle of the function and see what point the y axis is. But make sure you see how many points it moves vertically from whichever you use wether it be sin or cos.
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fosmanali01 Author
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#2
11 years ago
Thank you, padre !
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#3
11 years ago
Hi, is it possible to post the function you ended up finding?
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#4
Staff Member
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11 years ago
NP

Quote from: PMdawn (11 years ago)
Hi, is it possible to post the function you ended up finding?

Me too!
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fosmanali01 Authorfosmanali01
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11 years ago
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be quite,  suersanta101112

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#6
Staff Member
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11 years ago
Awesome!
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