-reflected-over-the-y-axis.jpeg "(-3 2) Reflected Over The Y-axis")
Reflection of (-3, 2) over the Y-Axis
In geometry, reflection is a type of transformation that mirrors a point or a figure over a line or an axis. In this article, we will explore the reflection of the point (-3, 2) over the y-axis.
What is Reflection over the Y-Axis?
Reflection over the y-axis is a type of transformation that flips a point or a figure over the y-axis. This means that the x-coordinate of the point changes sign, while the y-coordinate remains the same.
Reflection of (-3, 2)
To reflect the point (-3, 2) over the y-axis, we need to change the sign of the x-coordinate, which is -3. The new x-coordinate will be 3, since the sign of -3 is changed to positive. The y-coordinate, which is 2, remains the same.
So, the reflection of (-3, 2) over the y-axis is (3, 2).
Graphical Representation
To visualize the reflection of (-3, 2) over the y-axis, we can graph the point on a coordinate plane.
Before Reflection: !
The point (-3, 2) is plotted on the coordinate plane.
After Reflection: !
The point (3, 2) is the reflection of (-3, 2) over the y-axis.
Conclusion
In conclusion, the reflection of (-3, 2) over the y-axis is (3, 2). This is because the x-coordinate changes sign, while the y-coordinate remains the same. Understanding reflections over the y-axis is an important concept in geometry and is used in various mathematical applications.
