Mastering Point Reflection Over The Y-Axis: Learn How To Reflect Points With Ease

Reflection over y – axis

y = f(x) -> y = f(-x); (x,y) -> (-x, y)

The y-axis is a vertical line that runs along the center of the coordinate plane. When a point is reflected over the y-axis, its x-coordinate changes sign while the y-coordinate remains the same. This means that the point is moved an equal distance to the left or right of the y-axis.

For example, if you have a point (2, 3) and you reflect it over the y-axis, the new point will be (-2, 3). The x-coordinate has changed from 2 to -2, but the y-coordinate remains the same.

To reflect a point over the y-axis, you can follow these steps:

1. Draw a vertical line through the point and the y-axis.
2. Measure the distance from the point to the y-axis.
3. Move the point the same distance to the opposite side of the y-axis.
4. Write down the coordinates of the new point.

Alternatively, you can use the following formula to find the new coordinates after reflecting over the y-axis:

(x, y) → (-x, y)

This formula simply negates the x-coordinate and leaves the y-coordinate unchanged.

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