a) The value of q is π/6.
b) The value of p is 900
c) The principal axis is 6
How the values of p and q are calculated
Given that f(x) = psin(qx) + r.
The minimum point is (9,800) and maximum point (3,2600).
From the graph, it takes 12 seconds for complete revolution
the period = 12
a) To find q
q = 2π/12
= π/6
b) p is the amplitude
p is calculated as the average of the difference between the y coordinates of the minimum and maximum points.
p = (2600-800)/2
= 1800/2
= 900
c) Principal axis is the average of the x-coodinates of the maximum and minimum points
principal axis = (9+3)/2
= 12/2
= 6
Therefore, the value of q is π/6, the value of p is 900 and the principal axis is 6.