Question

Describe the transformation from the graph of f(x) to the graph of g(x). f(x)=4x, g(x)=-4x

Answer 1

Explanation

The given function f(x) is defined as

$f(x)=4x$

The function g(x) is defined as

$g(x)=-4x$

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