Check for even/odd function symmetry or point symmetry across axes.
Input Parameters
Symmetry Results
(-3, -4)
Reflected over Origin
Calculated coordinates for geometric reflections.
Reflected over X-axis(3, -4)
Reflected over Y-axis(-3, 4)
What is Symmetry in Math?
Symmetry in mathematics refers to an object being invariant to certain transformations, like reflection or rotation. In functions, we often look for Even symmetry (symmetric about the y-axis) and Odd symmetry (rotational symmetry about the origin).
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Pro Tips
To reflect over the X-axis, negate the Y-coordinate.
To reflect over the Y-axis, negate the X-coordinate.
To reflect over the origin, negate both coordinates.
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Fun Facts
"The cosine function is even, while the sine function is odd."
"Any function can be expressed as the sum of an even function and an odd function."
