Question
What does the transformation f(x) )f(x) do to the graph of f(x)?
reflects it across the y-axis
shrinks it vertically
reflects it across the x-axis
stretches it vertically
reflects it across the y-axis
shrinks it vertically
reflects it across the x-axis
stretches it vertically
Answers
GPT-4o mini
The transformation \( f(-x) \) reflects the graph of \( f(x) \) across the y-axis.
This is because replacing \( x \) with \( -x \) in the function takes each point on the graph of \( f(x) \) and maps it to a point that is symmetrically located on the opposite side of the y-axis.
So, the correct answer is:
**reflects it across the y-axis**.
This is because replacing \( x \) with \( -x \) in the function takes each point on the graph of \( f(x) \) and maps it to a point that is symmetrically located on the opposite side of the y-axis.
So, the correct answer is:
**reflects it across the y-axis**.