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Mathematics 7 Online
OpenStudy (anonymous):

k

OpenStudy (anonymous):

looks like a graph of cosine shifted down

OpenStudy (ivancsc1996):

Well it is a cos graph that has been diplaced down 2 steps and has an aplitude of 2

OpenStudy (anonymous):

what @ivancsc1996 said also the period is 6

OpenStudy (anonymous):

isnt the amplitude 3?

OpenStudy (ivancsc1996):

The function should be: \[y=2\cos(\frac{ \pi }{ 3 } x)-2\]

OpenStudy (anonymous):

no the amplitude is 2, it goes from \(-4\) to \(0\) which has length 4

OpenStudy (anonymous):

ok but isn't period pi / 6

OpenStudy (ivancsc1996):

The two in the coefficient of cos shows the amplitude. The pi/3 show tha shift in period (you need a pi/3 so that when x=6, the net number inside the cos gives 2pi and therefore, the wave goes back to its starting place). The -2 shows the shift in the y axis

OpenStudy (anonymous):

I understnad. Thanks

OpenStudy (anonymous):

Its 2pi/b not pi/b

OpenStudy (ivancsc1996):

Yes :)

OpenStudy (anonymous):

you have just earned yourself a fan :)

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