-reflected-across-the-y-axis-is.jpeg "(5 3) Reflected Across The Y-axis Is")
Reflection Across the Y-Axis
What is Reflection Across the Y-Axis?
Reflection across the y-axis is a geometric transformation that flips a point or a shape across the y-axis. It is a type of reflection that occurs when a point or a shape is mirrored over the y-axis.
How to Reflect (5, 3) Across the Y-Axis
To reflect the point (5, 3) across the y-axis, we need to follow these steps:
- Identify the y-axis: The y-axis is the vertical axis that passes through the origin (0, 0).
- Find the reflection point: To find the reflection point, we need to change the sign of the x-coordinate (5) to its opposite (-5). The y-coordinate (3) remains the same.
- Write the reflected point: The reflected point is (-5, 3).
Formula for Reflection Across the Y-Axis
The formula for reflecting a point (x, y) across the y-axis is:
(-x, y)
In this case, the point (5, 3) becomes (-5, 3) when reflected across the y-axis.
Graphical Representation
Here's a graphical representation of the reflection:
Before Reflection:
- Point (5, 3) is located on the right side of the y-axis.
After Reflection:
- Point (-5, 3) is located on the left side of the y-axis, which is the mirror image of the original point.
Conclusion
Reflection across the y-axis is a simple geometric transformation that can be used to flip points or shapes across the y-axis. By following the steps and using the formula, we can easily reflect points across the y-axis.
