Math Problem Statement
Graph the image of D(3, -9) after a reflection over the x-axis.
Solution
In the image you provided, we have a point on the coordinate plane, and the task is to reflect this point over the x-axis.
To reflect a point across the x-axis, you change the sign of the y-coordinate, while the x-coordinate remains unchanged.
So, for point , after reflection over the x-axis, the new coordinates will be:
Thus, the image of point after a reflection over the x-axis will be .
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections
Formulas
Reflection formula: (x, y) → (x, -y)
Theorems
Reflection over the x-axis
Suitable Grade Level
Grades 6-8