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# Ellipse ppt

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### Ellipse ppt

1. 1. Ellipse © Jill Britton, September 25, 2003•Statuary Hall in the U.S. Capital building is elliptic. It was in this room that John QuincyAdams, while a member of the House of Representatives, discovered this acousticalphenomenon. He situated his desk at a focal point of the elliptical ceiling, easilyeavesdropping on the private conversations of other House members located near theother focal point.
2. 2. •An ellipse is the set of all points in a plane such that the sum of the distances from two fixed points is constant. Major Axis = 2a Minor Axis = 2b Major Axis = 2a(x-h)2 + (y-k)2 = 1 (y-k)2 + (x-h)2 = 1 a2 b2 a2 b2 Center = (h, k) *The larger denominator indicates the Major Axis*
3. 3. Writing an equation based on a graph•Write an equation for theellipse pictured.
4. 4. Writing equations given information1) Major axis 8 units long and parallel to x-axis, minor axis 2 unitslong and parallel to y-axis, center at (-2, 5).2) Endpoints of the major axis (-7, 2) and (5, 2), endpoints of minoraxis (-1, 0) and (-1, 4)
5. 5. Graphing Ellipses•Find the coordinates of the center and the lengths of the majorand minor axes for the ellipse within the given equation. Thengraph the ellipse.1) 2)
6. 6. HW: Worksheet