How to tell if a graph is symmetric?
Understand the Problem
The question is asking for methods or criteria to determine whether a graph exhibits symmetry. This involves examining the properties of the graph to see if it mirrors itself over a specific axis or point.
Answer
A graph is symmetric if reflecting it over a line leaves it unchanged.
A graph is symmetric if reflecting it over a line (like the x-axis, y-axis, or origin) leaves it unchanged.
Answer for screen readers
A graph is symmetric if reflecting it over a line (like the x-axis, y-axis, or origin) leaves it unchanged.
More Information
An axis of symmetry is a line over which you can reflect the graph, making it look identical on both sides.
Tips
Ensure that you test for symmetry using multiple points and check if every condition for symmetry (x-axis, y-axis, origin) applies.
Sources
- Symmetries Of A Graph - Maple - maplesoft.com
- Determining if Graphs Have Symmetry with Respect to the X-axis, Y-axis, or Origin - Study.com - study.com
- Algebra - Symmetry - Paul's Online Math Notes - tutorial-math.wip.lamar.edu
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