Exercises 21.4, page 586

  1. 1. F(5 ,  0) ,  x =  − 5

    The graph of a rightward opening parabola with a vertex at (0, 0).
  2. 3. F(0 ,   − 32) ,  y = 32

    The graph of a downward opening parabola with a vertex at (0, 0).
  3. 5. F(1 ,  0) ,  x =  − 1

    The graph of a rightward opening parabola with a vertex at (0, 0).
  4. 7. F( − 16 ,  0) ,  x = 16

    The graph of a leftward opening parabola with a vertex at (0, 0).
  5. 9. F(0 ,  18) ,  y =  − 18

    The graph of an upward opening parabola with a vertex at (0, 0).
  6. 11. F(0 ,   − 1) ,  y = 1

    The graph of a downward opening parabola with a vertex at (0, 0).
  7. 13. F(58 ,  0) ,  x =  − 58

    The graph of a rightward opening parabola with a vertex at (0, 0).
  8. 15. F(0 , 2548) ,  y =  − 2548

    The graph of an upward opening parabola with a vertex at (0, 0).
  9. 17. y2 = 12x

  10. 19. x2 =  − 2y

  11. 21. x2 = 0.64y

  12. 23. x2 = 336y

  13. 25. x2 = 18y

  14. 27. y2 = 253x

  15. 29. y2 = 3x

  16. 31. (0 ,  0) ,  (8 ,   − 4)

  17. 33. y2 − 2y − 12x + 37 = 0

    The graph of a rightward opening parabola with a vertex at (3, 1).
  18. 35.

    The calculator graph of a leftward opening parabola with a vertex at approximately (2, negative 4).
  19. 37.

    The graph of a rightward opening parabola with a vertex at (2, negative 3).
  20. 39. 4p

  21. 41. y2 = 2x

  22. 43. 32.0 cm

  23. 45. 59.0 ft

  24. 47. 107 km

  25. 49. 57.6 m

  26. 51. No (a course correction is necessary)

  27. 53. 2.16 cm from vertex

  28. 55.

    The graph of a curve that begins at (0, 0), rising through (200, 0.92) with decreasing steepness.
  29. 57. y2 = 8x or x2 = 8y with vertex midway between island and shore

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