Curve Tracing: Cartesian Equations Quiz

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5 Questions

If the equation of a curve contains only even powers of $x$, what type of symmetry does the curve have?

Symmetry about the $y$-axis

If a curve remains unchanged when $x$ is replaced by $-x$ and $y$ is replaced by $-y$, what type of symmetry does the curve have?

Symmetry in opposite quadrants

If the equation of a curve remains unchanged when $x$ is replaced by $-y$ and $y$ is replaced by $-x$, what type of symmetry does the curve have?

Symmetry about the line $y = -x$

If the equation of a curve contains only even powers of $y$, what type of symmetry does the curve have?

Symmetry about the $x$-axis

If a curve remains unchanged when $y$ is replaced by $-y$, what type of symmetry does the curve have?

Symmetry about the $x$-axis

Test your understanding of finding the approximate shape of a curve based on its given cartesian equation. Learn about identifying symmetry and following specific procedures to trace the curve.

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