Where a is the amplitude
b is used to find the period
The phase shift can be fined by doing
then the midline is y=d.
Finding A: The amplitude is the half of the distance between the. y values of the max and the min.
So a=2.5
Note: A is Positve never negative so if you get a negative a, take the absolute value.
Period:
Find the distance between x values,
The distance between the x values of the max and min x values is half the distance of the period. So the period is 6.
Note : If b is negative, take the absolute value.
Finding the midline.
To find the midline find the midpoint of the max and min y values.
So our midline is
So as of right now, our trig formula is
Plug in any x or y value,
This is not right so we need to shift this to the nearest value that is right
If we subtract,
We will have a cosine value of 1.
So our phase shift is
Our phase shift would be 2 units to the right.