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Characteristics of Ellipses

Characteristics of Ellipses. Ellipse. Distance from center to vertex = a. c 2 = a 2 - b 2. 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. Ellipse. a. c. b.

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Characteristics of Ellipses

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  1. Characteristics of Ellipses

  2. Ellipse Distance from center to vertex = a c2 = a2 -b2 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

  3. Ellipse a c b Distance from center to vertex = a Distance from center to co-vertex = b Distance from center to foci = c c2 = a2 -b2 Length of Major Axis = 2a Length of Minor Axis = 2b

  4. Example 1: Graph the following Ellipse Center: (2, -3) b = 3 a = 5 Foci: ) foci (-2, -3) (6, -3)

  5. Example 1: Graph the following Ellipse Center: (2, -3) b = 3 a = 5 Length of Axis Major: Minor: Minor Axis 3 Major Axis 5 5 3

  6. Example 2: Graph the following Ellipse Center: (-1, -3) a = 3 b = 2 Foci: (-1, --3 + ) foci (-1, --3 - )

  7. Example 2: Graph the following Ellipse Center: (-1, -3) a = 3 b = 2 Length of Axis Major: Minor: Major Axis 3 Minor Axis 2 2 3

  8. Example 3: Graph the following Ellipse Center: (-1, 5) a = 7 b = 4 Foci: (-1- , 5) (-1+ , 5) foci

  9. Example 3: Graph the following Ellipse Center: (-1, 5) a = 7 b = 4 Length of Axis Major: Minor: 4 7 7 Major Axis 4 Minor Axis

  10. Example 4: Graph the following Ellipse Center: (-2, 1) a = 9 b = 6 (-2, 1 + ) Foci: foci (-2, 1 - )

  11. Example 4: Graph the following Ellipse Center: (-2, 1) a = 9 b = 6 Major Axis Length of Axis Major: Minor: 9 Minor Axis 6 6 9

  12. Example 5: Graph the following Ellipse Center: (4, 3) b = 2 a = 5 foci Foci: (4+ , -3) (4- , -3)

  13. Example 5: Graph the following Ellipse Center: (4, 3) b = 2 a = 5 Length of Axis Major: Minor: 2 5 5 Major Axis 2 Minor Axis

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