Question

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

• A. f(x) = -f(-x)
• B. f(2+x) =f(2-x)
• C. f(x) = f(-x)
• D. f(x + 2) = f(x=2)

Answer 1

The correct option is B

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

$f\left(x\right)=f(-x)\Rightarrow f(0+x)=f(0-x)$ is symmetical about $x=0$.

$\therefore f(2+x)=f(2-x)$ is symmetrical about $x=2$.