Question

The graph of the function of $y=f\left(x\right)$ is symmetrical about the line $x=2$, then

• A. $f(x+2)=f(x-2)$
• B. $f(2+x)=f(2-x)$
• C. $f\left(x\right)=f(-x)$
• D. $f\left(x\right)=-f(-x)$

Answer 1

Answer: (B)

$f(2+x)=f(2-x)$

Since, the graph is symmetrical about the line $x=2$
$\Rightarrow f(2+x)=f(2-x)$

Hence, option B is correct.