Answer:
\(f(x)=2\cos(x-\pi)-1\)
Step-by-step explanation:
The general cosine function is given by
\(f(x)=A\cos(Bx-C)+D\)
where \(A=2\) is the amplitude,
\(Period=\frac{2\pi}{B}\)
\(\Rightarrow 2\pi=\frac{2\pi}{B}\)
\(\Rightarrow B=1\),
\(c=\pi\) is the horizontal shift and \(D=-1\) is a downward vertical shift.
If we substitute all these values into the formula we obtain;
\(f(x)=2\cos(x-\pi)-1\)
