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8.4: Ellipses

8.4: Ellipses. Write equations of ellipses Graph ellipses. Ellipse. An ellipse is like an oval. Every ellipse has two axes of symmetry Called the major axis and the minor axis The axes intersect at the center of the ellipse The major axis is bigger than the minor axis

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8.4: Ellipses

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  1. 8.4: Ellipses • Write equations of ellipses • Graph ellipses

  2. Ellipse • An ellipse is like an oval. • Every ellipse has two axes of symmetry • Called the major axis and the minor axis • The axes intersect at the center of the ellipse • The major axis is bigger than the minor axis • We use c2 = a2 – b2 to find c • a is always greater b • The equation is always equal to 1

  3. Ellipses Chart (pg 434)

  4. Example One: Graph the ellipse

  5. Your Turn: Graph the ellipse

  6. Example Two: Graph the ellipse

  7. Your Turn: Graph the ellipse

  8. Example Three: Write the equation of the ellipse in the graph:

  9. Your Turn: Write the equation of the ellipse in the graph:

  10. Example Four: Write the equation of the ellipse in the graph:

  11. Your Turn: Write the equation of the ellipse in the graph:

  12. Standard Form Find the coordinates of the center and foci and the lengths of the major and minor axes of the ellipse with equation: x2 + 4y2 + 24y = -32

  13. Standard Form Find the coordinates of the center and foci and the lengths of the major and minor axes of the ellipse with equation: 9x2 + 6y2 – 36x + 12y = 12

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