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Unformatted text preview: Example A student scientist wants to construct a solar cooker which is in the shape of a parabolic dish with a diameter of 6 feet and a depth of 1 foot. Where should the cooker (focus) be located to get the maximum reflected sun rays to cook the food. 6 feet 1 foot (3,1) (0,0) cooker Degenerate Conic Sections Intersections might now result in a conic section. Three degenerate cases occur when the cutting plane passes through the vertex. These degenerate conic sections are a point, line, and a pair of intersecting lines. (a) (b) (c) (d) 2 Find the focus and directrix of the parabola with the given equation. y 16 . x = ( 4,0), 4 (4,0), 4 (4,0), 4 (0,4), 4 y x y x= = = = (a) (b) (c) (d) 2 Find the vertex of the following parabola (x+4) 12( 2). y = + (2,4) (4,2) ( 4, 2) ( 2, 4)  (a) (b) (c) (d) 2 Find the focus of the following parabola (x+4) 12( 2). y = + (2, 4) (4,1) ( 4, 2) ( 4,1) ...
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 Fall '11
 jayjohn
 Conic section

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