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Title says it all.. What would the corresponding functions be for these four graphs?

UpTheChels  Dec 10, 2017
edited by Guest  Dec 10, 2017
 #1
avatar+91213 
+2

First one....one possibility

Midline  =  -1

Amplitude  =  2

Vertical shift down 1

Phase shift.....sine curve shifted to  the right by 3pi/4 units

1 period in 2pi  [ normal period ]

 

So  the equation  is :

 

y  =  2sin(x - 3pi/4)   - 1

 

Here's the graph : https://www.desmos.com/calculator/bgaimmpmmr

 

 

 

cool cool cool

CPhill  Dec 10, 2017
 #2
avatar+91213 
+2

Second one......one possibility

 

Midline  = .6

Vertical shift is up  .6 units  

Amplitude  = .3

Period  = pi....so....2 periods in 2 pi

Phase shift....sine graph shifted to the right by 3pi/4 units

 

The equation is

 

y = .3sin2(x - 3pi/4) + .6

 

Here's the graph : https://www.desmos.com/calculator/vr3zoak70p

 

 

cool cool cool

CPhill  Dec 10, 2017
edited by CPhill  Dec 10, 2017
 #3
avatar+91213 
+2

Third one....this one is easier

Midline  = 0

No vertical shift

Amplitude  = 2

Period  = pi....so....2 periods in 2 pi

Phase shift....sine curve shifted to the left by pi/6 units

 

So.....the equation is

 

y = 2sin2(x  + pi/6)

 

Here's the graph : https://www.desmos.com/calculator/jufztepinz

 

 

cool cool cool

CPhill  Dec 10, 2017
 #4
avatar+91213 
+2

Last one......pretty easy, too

 

Midline = 0

No vertical shift

Amplitude  = .5

Period  =  4pi....so  (1/2)  periods in 2pi

Sine curve shifted to the right by pi units 

 

The equation is :

 

y  =  .5sin (1/2)(x - pi)   =   .5sin (  [ x - pi ] / 2 )

 

Here's the graph : https://www.desmos.com/calculator/uziyarngnz

 

 

cool cool cool

CPhill  Dec 10, 2017

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