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 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|
