Respuesta :
The reflection of the parent absolute value function over the x-axis is:
f(x) = -|x|
How to reflect a function over the x-axis?
First, for a point (x, y), a reflection over the x-axis just changes the sign of the y-component, then the reflected point will be (x, -y).
For the case of a function, we have:
y = f(x).
Then if we reflect the function f(x) over the x-axis, we will get:
g(x) = -f(x).
In this case, we want to reflect the parent function |x| over the x-axis, so we will get:
f(x) = -|x|
So the correct option is the first one.
If you want to learn more about reflections, you can read:
https://brainly.com/question/4289712