0, 6 Reflected Over the X-Axis
What is Reflection Over the X-Axis?
In coordinate geometry, reflection is a transformation that flips a point or a shape over a line, called the axis of reflection. When a point is reflected over the x-axis, its x-coordinate remains the same, but its y-coordinate is negated.
Reflecting the Point (0, 6) Over the X-Axis
Let's reflect the point (0, 6) over the x-axis.
Original Point: (0, 6)
To reflect this point over the x-axis, we will change its y-coordinate from 6 to -6, since the x-axis is the axis of reflection.
Reflected Point: (0, -6)
Graphical Representation
Here's a graphical representation of the point (0, 6) and its reflection over the x-axis:
|
|
| *
| (0, 6)
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|
|
| *
| (0, -6)
|
+----------------->
|
In this graph, the original point (0, 6) is represented by the asterisk () above the x-axis, and its reflection (0, -6) is represented by the asterisk () below the x-axis.
Conclusion
Reflecting the point (0, 6) over the x-axis results in the point (0, -6). This transformation flips the point over the x-axis, negating its y-coordinate.
