Functions Question 452
Question: The graph of the function $ y=f(x) $ is symmetrical about the line $ x=2, $ then
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:
[b] Let us consider a graph symmetric with respect to line x = 2 as shown in the figure. From the figure $ f(x_1)=f(x_2), $ where $ x_1=2-x $ and $ x_2=2+x $
$ \therefore f(2-x)=f(2+x) $
BETA
