Curve Tracing: Cartesian Equations Quiz
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Questions and Answers

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 (correct)
  • Symmetry about the line $y = x$
  • Symmetry in opposite quadrants
  • Symmetry about the $x$-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 about the $y$-axis
  • Symmetry about the line $y = x$
  • Symmetry in opposite quadrants (correct)
  • Symmetry about the line $y = -x$

    • 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 $y = -x$ (correct)
  • Symmetry about the line $y = x$
  • Symmetry about the $x$-axis
  • Symmetry in opposite quadrants

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

    <p>Symmetry about the $x$-axis</p> Signup and view all the answers

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

    <p>Symmetry about the $x$-axis</p> Signup and view all the answers

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