What does the transformation f(x) → -f(x) do to the graph of f(x)?

Answer:

reflects it across the x-axis

explaination:

The transformation f(x) → -f(x) reflects the graph of the function f(x) across the x-axis. This means that for every point (x, y) on the original graph, the corresponding point on the transformed graph will be (x, -y). This transformation does not affect the x-coordinates of the points; it only changes the sign of the y-coordinates, effectively flipping the graph over the x-axis. The confusion may arise from the mention of reflection across the y-axis, but the transformation specifically indicates a reflection across the x-axis.

Topic: Mathematics, Graph Transformations

Tags: mathematics graph transformations function reflection x-axis reflection

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What does the transformation f(x) → -f(x) do to the graph of f(x)?

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