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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

User Mdubez
by
7.4k points

1 Answer

3 votes

Answer:

C) vertical reflection over x-axis

Explanation:

Given function
f(x)=x

And
f(x) being replaced with
-f(x)

Here
x is input and
f(x) is the output.

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

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

User Pobk
by
6.6k points