Objective: Graph and write equations of ellipses. Conic Sections.

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Presentation transcript:

Objective: Graph and write equations of ellipses. Conic Sections

Warm up 1. Use the Pythagorean Thm to write the equation of the circle in standard form. a.

b.

Read the definition of an ellipse. Write two facts that you learned about ellipses. (section 9.1, pg 874) 1.From any point P on the ellipse, the sum of the distances to the focus points is constant. 2.The midpoint connecting the foci is the center.

Vocabulary center vertex co-vertex minor axis focus major-axis Ellipse

1

Example 1 Graph and locate the foci.

Example 2 Graph and locate the foci.

Example 3 Find the standard form of the equation of an ellipse with foci at (-2, 0) and (2, 0) and vertices (-3, 0) and (3, 0).

Classwork Gizmo: Ellipse-Activity A Write answers to the assessment at the end of the gizmo worksheet. Pg 883 #2,8,20,22,26,27