Question

Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis?

f(x) = –|x|

f(x) = |–x|

f(x) = |x| + 1

f(x) = |x – 1|

Answer 1

A

Explanation:

Answer 2

Reflecting the point (x, y) over the x-axis transforms it to the point (x, -y). Then the points (x, f(x)) on the graph of f(x) will be transformed to (x, -f(x)) when the graph is reflected over the x-axis.

The reflection of the function f(x) = |x| is -f(x) = -|x|. If we name the reflected function f(x), we have
f(x) = -|x|