contestada

What is the effect on the graph of the function f(x) = x when f(x) is replaced with −f(x)?
A) shifts down 1 unit
B) shifts left 1 unit
C) vertical reflection over x-axis
D) horizontal reflection over y-axis

Respuesta :

Answer:

C) vertical reflection over x-axis

Step-by-step explanation:

Given function [tex]f(x)=x[/tex]

And [tex]f(x)[/tex] being replaced with [tex]-f(x)[/tex]

Here [tex]x[/tex] is input and [tex]f(x)[/tex] is the output.

If we multiply [tex]-1[/tex] to all outputs that is [tex]f(x)[/tex]. It will results in [tex]-f(x)[/tex]. Also, the new output [tex]-f(x)[/tex] will give reflection of the [tex]f(x)[/tex] vertoically over X-axis.

As given function [tex]f(x)[/tex], then function [tex]-f(x)[/tex] will be a vertical reflection about the X-axis.

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