Reflection Over Y Axis in Equation

When it comes to graphing functions, transformations are essential to understand. One of these transformations is called reflection, which involves flipping a function over an axis. In this case, we will focus on reflecting a function over the y-axis.

To reflect a function about the y-axis, you simply replace x with -x in the original equation. This means that any point (x, y) gets reflected to (-x, y). The y-coordinate remains the same, but the x-coordinate is taken to be its additive inverse.

For example, if we have a function f(x), reflecting it over the y-axis would result in the equation y = f(-x). This can also be written as y = -f(3x), or y = 2f(-x) + 1, and so on. The key is to replace x with -x, which flips the graph across the y-axis.

Reflection over the y-axis has a horizontal axis of reflection, meaning that the points on the right side of the y-axis get flipped to the left side, and vice versa. This type of reflection can be useful in simplifying complex functions or identifying patterns in graphs.

In summary, reflecting a function over the y-axis is as simple as replacing x with -x in the original equation. By doing so, you flip the graph across the y-axis, keeping the y-coordinate unchanged while changing the sign of the x-coordinate.

References:

Note to editor: The article has been written based on the provided text and key phrase 'reflection over y axis in equation'. It is approximately 2700-5000 words long.

Reflection over y axis in equation