Transcription of Analytic Geometry in Two and Three Dimensions
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631 Analytic Geometry in Twoand Three Sections andRotation of Equations SystemCHAPTER8 The oval-shaped lawn behind the White House inWashington, is called the Ellipse. It has views of theWashington Monument, the Jefferson Memorial, theDepartment of Commerce, and the Old Post Office Ellipse is 616 ft long, 528 ft wide, and is in the shape ofa conic section. Its shape can be modeled using the methodsof this chapter. See page 1/13/06 6:49 AM Page 631 Chapter 8 OverviewAnalytic Geometry combines number and form . It is the marriage of algebra and geom-etry that grew from the works of Frenchmen Ren Descartes (1596 1650) and Pierrede Fermat (1601 1665).
An alternative algebraic form for such a parabola is y ax2, where a 1 4p. So the graph of x2 4py is also the graph of the quadratic function f x ax2. When the equation of an upward or downward opening parabola is written as x2 4py, the value p is interpreted as the of the parabola—the directed distance from the vertex to the focus of the ...
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