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The graph of the function y=f(x) is symm...

The graph of the function `y=f(x)` is symmetrical 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 )`

Text Solution

Verified by Experts

The correct Answer is:
B
It the graphof f(x) is symmetrical about the line x = 2, then
`f(2+x) = f(2-x)` for all `x in R`.
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