If the graph of $y=f\left(x\right)$ is symmetrical about the lines $x=1$and $x=2$, then which of the following is true?

• A

  $f\left(x+1\right)=f\left(x\right)$

• B

  $f\left(x+3\right)=f\left(x\right)$

• C

  $f\left(x+2\right)=f\left(x\right)$

• D

  None of these