Respuesta :

To reflect a function of x in the y-axis, replace all x with -x.

The equation of this function after y-axis reflection is

   f(x) = (-x + 4)³

or you can rewrite it as

   f(x) = (4 - x)³

The equation f(x) = (4 - x)³ is reflected over the y axis f(x)=(x+4)³

What is reflection over the y-axis?

Reflection over the y-axis is defined as reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Let, function y =  f(x)

If reflect the function f(x) over the x-axis, then the transformation that is applied to the function f(x) is: f(-x)

Given function  f(x)=(x+4)³

To reflect a function of x in the y-axis, substitute all x with -x.

The equation of given function after y-axis reflection :

f(x) = (-x + 4)³

Rewrite it as  f(x) = (4 - x)³

Hence, the equation f(x) = (4 - x)³ is reflected over the y axis f(x)=(x+4)³

Learn more about reflection over the y-axis here :

https://brainly.com/question/15175017

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