Understanding Reflections: How to Reflect a Function over a Line or Axis

Function -f(x) is a reflection of f(x) over the:

To determine the reflection of a function f(x) over a given line or axis, you need to know the equation or the specific line or axis

To determine the reflection of a function f(x) over a given line or axis, you need to know the equation or the specific line or axis. However, since you haven’t provided any specific information in your question, I cannot provide a detailed answer.

In general, reflections of functions can occur over various lines or axes, such as the x-axis, y-axis, a vertical line, a horizontal line, or even oblique lines. Each of these reflections will have different effects on the function.

For example, reflecting a function over the x-axis will change the signs of the y-coordinates, but the x-coordinates remain the same. This means that any point (x, y) on the original graph will be reflected to (x, -y) on the reflected graph.

Similarly, reflecting a function over the y-axis will change the signs of the x-coordinates, while the y-coordinates remain the same. So, any point (x, y) on the original graph will be reflected to (-x, y) on the reflected graph.

If you can provide more specific information about the function and the line or axis of reflection, I would be happy to provide a detailed answer.

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