+0  
 
0
27
1
avatar

if the following graph is in the form y = asinb(x-c)+d, then determine the equation of the graph:

 

picture of the graph: https://drive.google.com/file/d/140W1-aoO3MUvtWHC3-ZdsZsHB7aTdAki/view?usp=sharing

 
 Jun 3, 2021
 #1
avatar+119771 
+1

d =  the  midline  =  (25 + 15)/2   =   20

 

a  = the amplitude   =   25 - 20   =   5

 

The period   =     13pi/ 6    -   pi/6   =   12pi/ 6  =   2pi

 

b = the periods  in 2pi  =   1

 

We  can find  the  phase  shift thusly

 

13pi/6  -  pi/2    =   13pi/6  - 3pi/6  =  10pi/6  =  5pi/3  =    c

 

0   =  5 sin ( x - 5pi/3)  +  20

 

Here's the graph :  https://www.desmos.com/calculator/qd5aqbj53w

 

 

cool cool cool

 
 Jun 3, 2021

20 Online Users

avatar
avatar
avatar