The value of C is 3 for the given graph.
What is a cosine function?
The cosine function is a trigonometric function that's called periodic. In mathematics, a periodic function is a function that repeats itself over and over again forever in both directions.
According to the given problem,
Given, cosine function = Acos( x - C )
where, A = amplitude
C = Maximum and Minimum value of y
We know, a general cosine function is in the form of,
f(x) = Acos( x + C )
For the given graph, we need to take the minimum value of y,
⇒ C = -2
⇒ f(x) = Acos( x - 2 )
Hence, we can conclude, for the given graph, the cosine function has to be Acos( x - 2 ), where the value of C is -3.
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