What does the transformation f(x)↦

Question

–
f(x) do to the graph of f(x)?

stretches it horizontally
reflects it across the y-axis
shrinks it horizontally
reflex it across the x-axis

Answer 1

The transformation \( f(x) \mapsto -f(x) \) reflects the graph of \( f(x) \) across the x-axis. This means that for every point \((x, y)\) on the graph of \( f(x) \), there will be a corresponding point \((x, -y)\) on the graph of \(-f(x)\).

Thus, the correct answer is: reflect it across the x-axis.