1. The graph of the function y = f(x) is symmetrical about the line x = 2, then
(A) f(x+2) = f(x-2) (B) f(2+x) = f(2-x) (C) f(x) = f(-x) (D) f(x) = (- f(-x))

Hi Sashant,
Please find below the solution to the asked query:

The answer can easily be obtained graphically.Consider the figure below.

As graph of fx is symmteric about line x=2.Hence fA1=fA2From graphx-coordinate of  A1=2-xx-coordinate of  A2=2+xAs fA1=fA2f2-x=f2+xHence optionB is correct.Note: Memorize the fact that if fx is symmetric about line x=a then fa-x=fa+x

Hope this information will clear your doubts about this topic.

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