Between 11 P.M. and 8:54 A.M., the water level in a swimming pool decreased by 11/20. Assuming that the water level decreased a
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In the standard form of the equation
The middle line =k
For our given problem
f(t) = 40cos (80t + 20)
On comparison we get k=0
Hence middle line=0
We have been given a function . We are asked to find the amplitude, period and phase shift of the function
We can see that our given function is in form , where,
= Amplitude.
Period =
C = Horizontal shift,
D = Vertical shift.
We can see that value of a is 1, therefore, the amplitude of given function would be 1.
We can see that B is equal to 8, so we will get:
Therefore, the period of given function is .
Since the value of C is 1, therefore, horizontal shift is 1.
Since the value of D is 2, therefore, vertical shift would be 2.