The graph of the function y = f(x) is symmetrical about the line … - Vidyadip

MCQ

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

A
$f(x)=-f(-x)$
✓
$f (2+x)= f (2-x)$
C
$f(x)=f(-x)$
D
$f (x+2)= f (x-2)$

✓

Answer

Correct option: B.

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

(B)
$f (x)= f (-x) \Rightarrow f (0+x)= f (0-x)$ is
symmetrical about $x=0$.
$\therefore f (2+x)= f (2-x)$ is symmetrical about $x=2$.

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