10.3 Ellipses Foci Major Axis / Minor Axis Vertices / Co- Vertices Eccentricity.

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Presentation transcript:

10.3 Ellipses Foci Major Axis / Minor Axis Vertices / Co- Vertices Eccentricity

Parts of an Ellipse The center is (h, k)

Parts of an Ellipse The center is (h, k)

Parts of an Ellipse The center is (h, k)

Standard Equations of an Ellipses “a” is with the Major axis

The Equation depends on “a” and “b”

Eccentricity Definition of Eccentricity : A measure of the deviation of an elliptical path, especially an orbit, from a perfect circle. It is equal to the ratio of the distance between the foci “2c”of the ellipse to the length of the major axis “2a”of the ellipse (the distance between the two points farthest apart on the ellipse). Eccentricity ranges from zero (for a perfect circle) to values approaching 1 (highly elongated ellipses).

As e approaches 1 e is for eccentricity

Graph the Ellipses Remember

Graph the Ellipses Graph the Center

Graph the Ellipses Graph the Vertices

Graph the Ellipses Graph the Co-Vertices

Graph the Ellipses Graph the Foci

Graph the Ellipses Graph the Foci

Graph the Ellipses Eccentricity

Write the Equation of the Ellipses in Standard form Given

Write the Equation of the Ellipses in Standard form

Homework Page 722 – 724 # 1, 4, 6, 12, 18, 24, 30, 36, 42, 48, 60

Homework Page 722 – 724 # 7, 17, 27, 37, 47