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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

Respuesta :

TaeKwonDoIsDead

Answer:

C

Step-by-step explanation:

Lets review some transformation rules. Let function be f(x). So:

  • f(x+b) is the parent shifted b units left horizontally
  • f(x-b) is the parent shifted b units right horizontally
  • f(x) + a is the parent shifted a units up vertically
  • f(x) - a is the parent shifted a units down vertically
  • -f(x) is a vertical reflection across x-axis
  • f(-x) is a horizontal reflection across y-axis

Now, on to our question. We want to find what happens to parent function [f(x)] if we were to write it like  [-f(x)].

From the rules, we see that it is the second last one. This means it is a vertical reflection over the x-axis.

From the answer choices, the correct choice is C

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