Step 1:
\The graph of the function is in the form of ,
where is amplitude,
is the period and
is the shift along
-axis.
Observe the graph.
\The difference between the maximum height and the minimum height is twice of the amplitude of the function.
\The amplitude of the function is .
From the graph, the sine curve starts down wards from the origin.
\So, consider the period as .
Step 2:
\Period of the function is .
The sine function completes one half of the cycle between the times at maximum height and minimum height.
\Then Period of the function is .
Step 3:
\Phase shift along - axis is the time where minimum height occurs.
The time at minimum height is .
Substitute the values ,
and
in the function
.
,
, and
.
Solution:
\The function is .