The Amplitude of the sine function is given as 24, the period of the sine function is given as 12 months while the Shift is 62.
Steps in the Solution
Period: Notice that the period is in months represented by m. By mere observation, we can tell that the number of months (m) = 12.
What is Amplitude?
This is the vertical distance between the peak and the trough divided by two. Where:
Max (P) is the distance between the peak and Min (T) is Trough. The figures are given as 86 and 38 respectively. The formula for Amplitude (A) is:
A = [tex]\frac{max(p) - min(t)}{2}[/tex]
A= (86-38)/2
Therefore,
A = 24
What is Vertical Shift?
Vertical Shift refers to the upward or downward movement of the graph rather than movements within the graph. Amplitude is a measure that is relevant to movement within the graph.
The formula for Shift = the mean of (f) that is f(m)
That is:
Sum of observation/number of observations
= (62+50+41+38+41+50+62+74+83+86+83+74)/12
= 744/1
= 62
Read up more about Amplitudes here:
https://brainly.com/question/1538711
