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The transformation representing a reflection over the y-axis is: (x, y) → (-x, y)

User Jbearden
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The transformation representing a reflection over the y-axis is: (x, y) → (-x, y).

When we reflect a point over the y-axis, we essentially flip the point across the vertical line of the y-axis. This means that the x-coordinate of the point is negated while the y-coordinate remains the same.

For example, let's consider the point (2, 3). When we reflect this point over the y-axis, the x-coordinate becomes -2 while the y-coordinate remains 3. So, the reflected point is (-2, 3).

Similarly, if we have the point (-5, -2) and reflect it over the y-axis, the x-coordinate changes to 5 while the y-coordinate remains -2. Therefore, the reflected point is (5, -2).

In general, the transformation (x, y) → (-x, y) represents a reflection over the y-axis, where the x-coordinate of the point is negated while the y-coordinate remains the same.

User FredrikO
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