+0

# Determine a function that could be represented by the following graphs.

0
69
4
+79

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

UpTheChels  Dec 10, 2017
edited by Guest  Dec 10, 2017
Sort:

#1
+80874
+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

CPhill  Dec 10, 2017
#2
+80874
+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

CPhill  Dec 10, 2017
edited by CPhill  Dec 10, 2017
#3
+80874
+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

CPhill  Dec 10, 2017
#4
+80874
+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

CPhill  Dec 10, 2017

### 17 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details