1035 Concept Check Match each equation with its calculator graph in choices A–F. In all cases except choice B, Xscl = Yscl = 1. 21. 4x2 + y2 = 36 22. x = 2y2 + 3 23. 1x - 222 + 1y + 322 = 36 24. x2 36 + y2 9 = 1 25. 1y - 122 - 1x - 222 = 36 26. y2 = 36 + 4x2 A. −9.4 −9.2 3.2 9.4 B. −30 −20 20 30 In this screen, Xscl = Yscl = 5. C. −1.7 −3.1 3.1 7.7 D. −10 −10 10 10 E. −9.4 −6.2 6.2 9.4 F. −9.4 −6.2 6.2 9.4 Identify and sketch the graph of each equation. Give the domain and range for each circle. Give the domain, range, and coordinates of the vertices for each ellipse or hyperbola, and give the equations of the asymptotes for each hyperbola. 27. x2 4 + y2 9 = 1 28. x2 16 + y2 4 = 1 29. x2 64 - y2 36 = 1 30. y2 25 - x2 9 = 1 31. 1x + 122 16 + 1y - 122 16 = 1 32. 1x - 322 + 1y + 222 = 9 33. 4x2 + 9y2 = 36 34. x2 = 16 + y2 35. 1x - 322 4 + 1y + 122 = 1 36. 1x - 222 9 + 1y + 322 4 = 1 37. 1y + 222 4 - 1x + 322 9 = 1 38. 1x + 122 16 - 1y - 222 4 = 1 39. x2 - 4x + y2 + 6y = -12 40. 4x2 + 8x + 25y2 - 250 y = -529 41. 5x2 + 20x + 2y2 - 8y = -18 42. -4x2 + 8x + 4y2 + 8y = 16 CHAPTER 10 Review Exercises
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