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  1. Home
  2. 12th grade
  3. Algebra II
  4. Exercise : Write equations of ellipses from properties

Write equations of ellipses from properties Algebra II

Find the equation of the ellipse that has the following characteristics :

  • The center is \left(1{,}2\right)
  • A horizontal axis with length 6.
  • A vertical axis with length 4.

Find the equation of the ellipse that has the following characteristics :

  • The vertices are (5, 0) and (–1, 0).
  • The foci are (4, 0) and (0, 0).

Find the equation of the ellipse that has the following characteristics :

  • The center is \left(2,-3\right)
  • A horizontal axis with length 12
  • A vertical axis with length 6

Find the equation of the ellipse that has the following characteristics :

  • The center is \left(-5,-3\right)
  • A horizontal axis with length 14
  • A vertical axis with length 8

Find the equation of the ellipse that has the following characteristics :

  • The center is \left(0{,}2\right)
  • A horizontal axis with length 4
  • A vertical axis with length 6

Find the equation of the ellipse that has the following characteristics :

  • The center is \left(-1{,}4\right).
  • The vertices are (-1,-3) and (-1,11).
  • A horizontal axis with length 8

Find the equation of the ellipse that has the following characteristics :

  • The center is \left(3,-5\right)
  • A horizontal axis with length 10
  • A vertical axis with length 18
See also
  • Course : Ellipses
  • Exercise : Graph an ellipse from its equation
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