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
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