Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right? f(x) = –|x| + 1 f(x) = –|x – 1| f(x) = |–x| + 1 f(x) = |–x – 1|

The answer is:  f(x) = -|x-1|

The parent function is f(x) = |x|
Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become: 
f(x) = -|x| 
-f(x)' = |x|
 f(x)' = -|x|

After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become: 
 f(x) = -|x|
 f(x) = -|(x'-1)|
 f(x) = -|x'-1|

Wow. that is a really cool question.