Math Problem Statement
What is the image of left parenthesis, minus, 1, comma, minus, 6, right parenthesis(−1,−6) after a reflection over the y-axis?
Solution
To find the image of a point after a reflection over the -axis, we follow this rule:
- Reflection over the -axis: The -coordinate changes its sign, while the -coordinate remains unchanged.
Given :
- The -coordinate, , becomes .
- The -coordinate, , remains .
Thus, the reflected point is .
Do you want a detailed explanation of reflections? Let me know!
Related Questions:
- What is the reflection of over the -axis?
- How would you reflect over the -axis instead?
- What would be the image of after a reflection over the line ?
- How do you reflect a point over the origin?
- What happens when you reflect a point over the line ?
Tip:
When reflecting over the -axis, always remember: only the -coordinate changes its sign!
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Math Problem Analysis
Mathematical Concepts
Reflection
Coordinate Geometry
Formulas
Reflection over the y-axis: (x, y) -> (-x, y)
Theorems
Coordinate reflection rules in a Cartesian plane
Suitable Grade Level
Grades 6-8