Math Problem Statement
What is the reflection of the point (4,negative 3) across the x-axis? -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x y
x y graph Question content area bottom Part 1 The reflection of the point (4,negative 3) across the x-axis is
Solution
To find the reflection of a point across the -axis:
- Keep the -coordinate unchanged.
- Reverse the sign of the -coordinate.
For the point :
- The -coordinate remains .
- The -coordinate changes from to .
Thus, the reflection of across the -axis is .
Would you like further clarification or a graphical explanation?
Related Questions:
- What is the reflection of the point across the -axis?
- How do you find the reflection of a point across the line ?
- What are the coordinates of the point after a rotation about the origin?
- What happens to a point when it is reflected across both the - and -axes?
- Can you generalize the reflection formula for any line ?
Tip: To reflect a point across any axis or line, always consider how the coordinates relate to the line of reflection!
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Plane
Reflections
Formulas
Reflection across x-axis: (x, y) → (x, -y)
Theorems
Reflection properties in coordinate geometry
Suitable Grade Level
Grades 6-8