Functions Question 622
Question: The graph of the function $ y=f(x) $ is symmetrical about the line $ x=2 $ , then
[AIEEE 2004]
Options:
A) $ f(x)=-f(-x) $
B) $ f(2+x)=f(2-x) $
C) $ f(x)=f(-x) $
D) $ f(x+2)=f(x-2) $
Show Answer
Answer:
Correct Answer: B
Solution:
$ 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 $ .
BETA
