Hyperbolas

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Questions and Answers

Which of the following equations represents the standard form of a hyperbola with a vertical transverse axis?

  • $y^2/a^2 - x^2/b^2 = -1$
  • $y^2/a^2 - x^2/b^2 = 1$
  • $x^2/a^2 - y^2/b^2 = 1$ (correct)
  • $x^2/a^2 - y^2/b^2 = -1$

Which of the following equations represents the standard form of a hyperbola with a horizontal transverse axis?

  • $x^2/a^2 - y^2/b^2 = -1$
  • $y^2/a^2 - x^2/b^2 = -1$
  • $x^2/a^2 - y^2/b^2 = 1$ (correct)
  • $y^2/a^2 - x^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a vertical transverse axis and a center at $(h, k)$?

  • $(y-k)^2/a^2 - (x-h)^2/b^2 = -1$
  • $(x-h)^2/a^2 - (y-k)^2/b^2 = 1$ (correct)
  • $(x-h)^2/a^2 - (y-k)^2/b^2 = -1$
  • $(y-k)^2/a^2 - (x-h)^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a horizontal transverse axis and a center at $(h, k)$?

<p>$(x-h)^2/a^2 - (y-k)^2/b^2 = 1$ (C)</p> Signup and view all the answers

Which of the following equations represents the standard form of a hyperbola with a vertical transverse axis and a center at $(h, k)$?

<p>$(y-k)^2/a^2 - (x-h)^2/b^2 = 1$ (A)</p> Signup and view all the answers

Which of the following equations represents the standard form of a hyperbola with a center at the origin and a transverse axis of length $2a$?

<p>$x^2/a^2 - y^2/b^2 = 1$ (C)</p> Signup and view all the answers

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