Exercises 21.9, page 608

  1. 1. Hyperbola; 2x ′ y ′  + 25 = 0

    A horizontal hyperbola centered at (0, 0).
  2. 3. Ellipse; 4x ′ 2 + 9y ′ 2 = 36

    An angled ellipse centered at (0, 0) and with major axis vertices in quadrants 1 and 3.
  3. 5. Hyperbola

  4. 7. Parabola

  5. 9. Ellipse

  6. 11. Parabola; x ′ 2 + 2y ′  = 0

    An angled parabola opening into quadrant 4 with a vertex at (0, 0).
  7. 13. y ′ 2 − x ′ 2 = 16

    An angled hyperbola centered at (0, 0) with branches in quadrants 1 and 3.
  8. 15. Hyperbola; 4x ′ 2 − y ′ 2 = 4

    An angled hyperbola centered at (0, 0) with branches in quadrants 1 and 3.
  9. 17. Ellipse;

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