directrix at x 5 1 5 1124 CHAPTER 11 Analytic Geometry and Systems of Nonlinear

Directrix at x 5 1 5 1124 chapter 11 analytic

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directrix at x = 5 ( - 1, 5);
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1124 CHAPTER 11 Analytic Geometry and Systems of Nonlinear Equations and Inequalities In Exercises 25–32, find the focus, vertex, directrix, and length of latus rectum and graph the parabola. 25. 26. 27. 28. 29. 30. 31. 32. In Exercises 33–44, find the vertex and graph the parabola. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. y 2 + y - x + 1 = 0 x 2 - x + y - 1 = 0 x 2 - 6 x - 4 y + 10 = 0 y 2 + 2 y - 8 x - 23 = 0 x 2 - 6 x + 2 y + 9 = 0 y 2 - 4 y - 2 x + 4 = 0 y 2 = - 16( x + 1) ( x + 5) 2 = - 2 y ( x + 3) 2 = - 8( y - 2) ( x - 3) 2 = - 8( y + 1) ( y + 2) 2 = - 4( x - 1) ( y - 2) 2 = 4( x + 3) y 2 = - 16 x y 2 = 4 x x 2 = - 8 y x 2 = 16 y y 2 = 6 x y 2 = - 2 x x 2 = - 12 y x 2 = 8 y 45.Satellite Dish.A satellite dish measures 8 feet across its opening and 2 feet deep at its center. The receiver should be placed at the focus of the parabolic dish. Where is the focus? 46.Satellite Dish.A satellite dish measures 30 feet across its opening and 5 feet deep at its center. The receiver should be placed at the focus of the parabolic dish. Where is the focus? 48.Optical Lens.A parabolic lens focuses light onto a focalpoint 3 centimeters from the vertex of the lens. How wide isthe lens 0.5 centimeter from the vertex? ©AP/Wide World Photos49.Solar Cooker.The parabolic cooker MS-ST10 is deliveredas a kit, handily packed in a single carton, with completeassembly instructions and even the necessary tools. 21. 22. 23. 24. x y (–3, –2) (–3, 6) Vertex (–1, 2) x y (–2, –3) (6, –3) Vertex (2, –1) (–2, 1) (6, 1) Vertex (2, –1) x y x y (1, –2) (1, 6) Vertex (–1, 2) In Exercises 21–24, write an equation for each parabola. A P P L I C AT I O N S
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