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ellipse

ellipse. Ellipse. The set of all co-planar points whose sum of the distances from two fixed points (foci) are constant. Ellipse. Definition of major and minor axis. minor axis. major axis. Ellipse. major axis. minor axis. Ellipse. Definition of vertices and co-vertices. co-verticies.

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ellipse

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  1. ellipse

  2. Ellipse • The set of all co-planar points whose sum of the distances from two fixed points (foci) are constant.

  3. Ellipse • Definition of major and minor axis minor axis major axis

  4. Ellipse major axis minor axis

  5. Ellipse • Definition of vertices • and co-vertices co-verticies verticies verticies endpoint ofmajor axis co-verticies endpoint ofminor axis

  6. Ellipse Distance from center to vertex = a Distance from center to co-vertex = b Distance from center to foci = c b c a Length of major axis = 2a Length of minor axis = 2b a2 = b2 + c2

  7. Ellipse - horizontal b c a Distance from center to vertex = a a2 = b2 + c2 Distance from center to co-vertex = b Distance from center to foci = c

  8. Ellipse - vertical a c a2 = b2 + c2 b Distance from center to vertex = a Distance from center to co-vertex = b Distance from center to foci = c

  9. Graph the following Ellipse Center: (2, -3) a = 5 in x direction b = 3 in y direction (2, 0) 3 (2, -3) (-3, -3) (7, -3) 5 5 3 (2, -6)

  10. Graph the following Ellipse a = 5 b = 3 a2 = b2 + c2 52 = 32 + c2 25 = 9 + c2 foci 16 = c2 4 = c (2, 0) 3 (-2, -3) (6, -3) (2, -3) (-3, -3) (7, -3) 5 5 3 (2, -6)

  11. Graph the following Ellipse (-1, 12) Center: (-1, 5) 7 a = 7 in y direction (-1, 5) (-5, 5) (3, 5) 4 4 b = 4 in x direction 7 (-1, -2)

  12. Graph the following Ellipse a = 7 b = 4 a2 = b2 + c2 72 = 42 + c2 49 = 16 + c2 (-1, 12) 33 = c2 foci 7 5.7 = c (-1, 5) (-5, 5) (3, 5) 4 4 7 (-1, -2)

  13. Graph the following Ellipse Center: (-1, -3) a = 3 in x direction b = 2 in y direction (-1, -1) 2 (-1, -3) (-4, -3) (2, -3) 3 3 2 (-1, -5)

  14. Graph the following Ellipse a = 3 b = 2 a2 = b2 + c2 32 = 22 + c2 9 = 4 + c2 foci 5 = c2 (-1, -1) 2.2 = c 2 (-1, -3) (-4, -3) (2, -3) 3 3 2 (-1, -5)

  15. Graph the following Ellipse Center: (-2, 5) a = 9 in y direction b = 6 in x direction (-2, 14) 9 (-2, 5) (-8, 5) (4, 5) 6 6 9 (-2, -4)

  16. Graph the following Ellipse a = 9 b = 6 a2 = b2 + c2 92 = 62 + c2 81 = 36 + c2 (-2, 14) 45 = c2 foci 9 6.7 = c (-2, 5) (-8, 5) (4, 5) 6 6 9 (-2, -4)

  17. Graph the following Ellipse Center: (4, 3) a = 5 in x direction b = 2 in y direction (4, 5) 2 (4, 3) (-1, 3) (9, 3) 5 5 2 (4, 1)

  18. Graph the following Ellipse a = 5 b = 2 a2 = b2 + c2 52 = 22 + c2 25 = 4 + c2 foci 21 = c2 (4, 5) 4.6 = c 2 (4, 3) (-1, 3) (9, 3) 5 5 2 (4, 1)

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