Which transformation represents a reflection over the y-axis?
Understand the Problem
The question is asking about the mathematical transformation that corresponds to reflecting points across the y-axis in a coordinate system. In terms of function or coordinates, this transformation typically changes the sign of the x-coordinate of a point, resulting in a new point that is mirrored across the y-axis.
Answer
(x, y) → (−x, y)
The transformation representing a reflection over the y-axis is (x, y) → (−x, y).
Answer for screen readers
The transformation representing a reflection over the y-axis is (x, y) → (−x, y).
More Information
In a reflection over the y-axis, the x-coordinates of all points on a figure are negated, while their y-coordinates remain the same.
Tips
One common mistake is confusing reflection over the y-axis with reflection over the x-axis, which uses the formula (x, y) → (x, −y).
Sources
- Reflection across the y-axis: y = f(-x) - StudyPug - studypug.com
- How to reflect quadratic equations - Study.com - study.com
