How to reflect on the y-axis?
Understand the Problem
The question is asking how to perform a reflection of a geometric figure or point across the y-axis. This involves understanding the transformation properties of coordinates in a Cartesian plane, specifically how to invert the x-coordinate while keeping the y-coordinate the same.
Answer
y = f(-x)
To reflect a function on the y-axis, you replace x with -x in the function.
Answer for screen readers
To reflect a function on the y-axis, you replace x with -x in the function.
More Information
Reflecting functions on the y-axis involves changing the sign of the input variable. This shifts points from one side of the y-axis to the other, forming a mirror image.
Tips
A common mistake is only changing the sign of the output (y-value) instead of the input (x-value). Ensure you adjust the x-values to reflect properly.
Sources
- Reflect Function About y-Axis: f(-x) - Expii - expii.com
- Reflection across the y-axis: y = f(-x) - StudyPug - studypug.com
- The web page with info on - Example Source - khanacademy.org
