Math Problem Statement
Solution
The problem asks for the coordinates of point after point is reflected across the y-axis. Point is given as .
Reflection Across the y-axis:
When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the coordinates of the reflected point can be found using the following rule:
Applying this to the given point :
Quadrant Location:
- Point is in Quadrant IV, where x is positive, and y is negative.
So, the correct answer is Quadrant IV.
Would you like further details or have any other questions? Here are 5 related questions to consider:
- What are the rules for reflecting a point across the x-axis?
- How do you reflect a point across the origin?
- What are the coordinates of a point after being reflected across the line ?
- Can you determine the distance between point and its reflection ?
- How do the coordinates change when reflecting a point across the line ?
Tip: Always pay close attention to which axis or line a point is being reflected across, as this determines how the coordinates will change.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Reflection
Formulas
Reflection across the y-axis: C'(x, y) -> C'(-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 7-9