Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Testing for Symmetry

An equation is being tested for symmetry with respect to the x-axis, y-axis and the origin. Explain why, if two of these symmetries are present, the remaining one must also be present.

Does anyone know?

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Testing for Symmetry

An equation is being tested for symmetry with respect to the x-axis, y-axis and the origin. Explain why, if two of these symmetries are present, the remaining one must also be present.

Does anyone know?

Reddit thread
if its symmetric about the y-axis then its even
if its symmetric about the origin then its odd
so the equation cant be a function
maybe theyr'e thinking of circles/ellipses?
symmetry PDF

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Testing for Symmetry

An equation is being tested for symmetry with respect to the x-axis, y-axis and the origin. Explain why, if two of these symmetries are present, the remaining one must also be present.

Does anyone know?

Reddit thread
if its symmetric about the y-axis then its even
if its symmetric about the origin then its odd
so the equation cant be a function
maybe theyr'e thinking of circles/ellipses?
symmetry PDF

I have no idea. If I don't show effort it pretty much means I have no clue how to begin answering the question.