-reflected-about-the-y-axis.jpeg "(-1 6) Reflected About The Y Axis")
Reflection of (-1, 6) about the Y-Axis
In this article, we will explore the concept of reflection of a point about the Y-axis and apply it to the point (-1, 6).
What is Reflection about the Y-Axis?
Reflection about the Y-axis is a transformation that flips a point over to the other side of the Y-axis. Imagine a mirror placed along the Y-axis, and the point is reflected as if it was in front of the mirror. The resulting point will have the same y-coordinate but the opposite x-coordinate.
Reflection of (-1, 6)
Let's apply the concept of reflection about the Y-axis to the point (-1, 6).
The reflection of (-1, 6) about the Y-axis is (1, 6).
Why is that?
When we reflect a point about the Y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the x-coordinate of (-1, 6) is -1, so we change it to 1, and the y-coordinate remains the same, which is 6.
Graphical Representation
Here's a graphical representation of the reflection of (-1, 6) about the Y-axis:
y
^
|
6 | * (1, 6)
|
|
4 |
|
2 |
|
0 |
|
-2 |
|
-4 |
|
v
x
In the graph above, the point (-1, 6) is reflected to (1, 6) about the Y-axis.
Conclusion
In conclusion, the reflection of (-1, 6) about the Y-axis is (1, 6). This transformation is a fundamental concept in geometry and is used in various areas of mathematics, physics, and engineering.
