Which transformation represents a reflection over the y-axis?
Understand the Problem
The question is asking for the mathematical representation of a transformation that reflects points over the y-axis. This involves identifying the rule or function that describes this reflection in the coordinate system.
Answer
(x, y) → (−x, y)
The final answer is (x, y) → (−x, y)
Answer for screen readers
The final answer is (x, y) → (−x, y)
More Information
When reflecting a point over the y-axis, the x-coordinate of each point is negated, while the y-coordinate remains unchanged.
Tips
A common mistake is to incorrectly negate the y-coordinate instead of the x-coordinate. Ensure you are changing the x value, not the y value.
Sources
- How to Reflect Quadratic Equations - study.com
- Reflection Over The X and Y Axis: The Complete Guide - mashupmath.com
- Reflections - Varsity Tutors - varsitytutors.com