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# Ch 10 Review #1

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### Ch 10 Review #1

1. 1. Algebra 2 Name: Chapter 10 Review Write an equation of a circle with the given center and radius. 1. center (-1, 0), radius 6 2. center (-2, 6), radius 4 3. center (1, -5), radius 3 2 4. center (2, 3), radius 5 6 Find the center and radius of each circle. 5. (x + 1)2 + (y – 2)2 = 4 6. (x – 3)2 + (y + 5)2 = 9 7. x2 + 2x + y2 + 14y – 31 = 0 8. x2 + 2x + y2 – 10y – 38 = 0 Find the center, vertices, co-vertices, and foci of each ellipse. Then graph it. 9. 16x2 + 25y2 = 1600 10. 3x2 + 5y2 + 6x – 20 – 13 = 0 C: C: V: V: CV: CV: F: F:
2. 2. Write the equation for each ellipse. 11. center (0, 2), horizontal major axis of length 6, minor axis of length 4 12. ellipse with center (2, -5), one end of each axis at (2, -9) and (-3, -5) Find the center, vertices, and foci of each hyperbola, and the slope of the asymptotes. Then graph it. 13. (y – 2)2 – (x + 1)2 = 25 14. 25x2 + 50x – 9y2 – 18y – 209 = 0 C: C: V: V: F: F: m: m: Write an equation of a hypberbola with the given characteristics. 15. center (-4, 5), one vertex (-4, 7), one focus (-4, 8) 16. vertices (0, 2) and (4, 2), foci (-1, 2) and (5, 2)