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 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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