Question

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

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

Answer 1

The correct option is B $f(2+x)=f(2-x)$

If $f\left(x\right)$ is symmetrical about the line $x=a,$ then
$f(a+x)=f(a-x)$
Here, $a=2$
$\Rightarrow f(2+x)=f(2-x)$