The analysis of the graph of the sine function indicates that we get;
(i) π/6
(ii) 900
(iii) y = 1700
The steps by which the above values are found are as follows;
(i) The sine function can be presented as follows;
f(x) = p·sin(q·x) + r
The period is; (9 - 3) × 2 = 12
The period of a sine function is; Period = 2·π/q
Therefore; q = 2·π/Period
q = 2·π/12
q = π/6
(ii) The amplitude of the sound wave is; (2600 - 800)/2 = 900
(iii) The principal axis can be obtained by adding amplitude to the y-value of the trough of the graph
The y-value of the trough of the graph = 800
Therefore, the principal axis is; y = 800 + 900
The principal axis is; y = 1700, which is the axis equidistant from the peak and the trough of the graph