10.4 Hyperbolas Homework – Graphs Worksheet
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Questions and Answers

What is the center of a hyperbola whose equation is given by $-4x^2 + y^2 + 8x + 2y - 19 = 0$?

  • (2, -1)
  • (-2, 1)
  • (-2, -1) (correct)
  • (2, 1)
  • Which of the following represents the correct equation of a hyperbola with center at (-3, 4)?

  • $-4x^2 + 25y^2 - 100y = 0$
  • $-9x^2 + y^2 + 54x - 2y - 89 = 0$
  • $4x^2 - 25y^2 - 50y - 125 = 0$ (correct)
  • $25x^2 - 9y^2 + 100x - 125 = 0$
  • What are the foci coordinates of a hyperbola with vertices at (-5, 8) and (1, 8)?

  • (3, 8), (-3, 8)
  • (4, 8), (-4, 8)
  • (5, 8), (-1, 8) (correct)
  • (2, 8), (-2, 8)
  • If the slope of a hyperbola is $-3/4$, what is the equation of the hyperbola's asymptotes?

    <p>$y = 3x/4$ and $y = -3x/4$</p> Signup and view all the answers

    Given a hyperbola with equation $9x^2 - y^2 + 36x - 2y + 26 = 0$, what are the vertices of this hyperbola?

    <p>(6, -2), (-6, -2)</p> Signup and view all the answers

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