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Given a graph of the form  
\[y=A+B cos x, \: A+B sin x\]
, shown below,

We can easily find  
\[A\]
  and  
\[B\]

\[A=\frac{y_{MAX}+y_{MIN}}{2}=\frac{7+3}{2}=5\]

\[A=\frac{y_{MAX}-y_{MIN}}{2}=\frac{7-3}{2}=2\]

The equation of the graph is  
\[y=5+2 cos x\]