Question

# The graph of the function $$y = f(x)$$ is symmetrical about the line $$x = 2$$. Then,

A
f(x+2)=f(x2)
B
f(2+x)=f(2x)
C
f(x)=f(x)
D
f(x)=f(x)

Solution

## The correct option is B $$f(2 + x) = f(2 - x)$$If a function $$h(x)$$ is symmetrical about $$y \,axis(i.e.\,x=0)$$, then we can write :$$h(x)=h(-x)$$It can also be written as :$$h(0+x)=h(0-x)$$$$\therefore$$ a function f(x) which is symmetrical about $$x=2$$, can be written as:$$f(2+x)=f(2-x)$$Mathematics

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