Explanation
The given function f(x) is defined as
[tex]f(x)=4x[/tex]
The function g(x) is defined as
[tex]g(x)=-4x[/tex]
We are asked to find the transformation of f(x). To do so, we can consider the graph:
we can observe that f(x) has been reflected over the y-axis
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.
Hence
we have the answer as
Reflection over the y-axis
