This document provides a review of key concepts in Algebra 2 Chapter 10 including writing equations of circles, finding the properties of circles, ellipses, and hyperbolas given characteristics, graphing circles, ellipses, and hyperbolas, and writing equations of conic sections given properties. There are 16 practice problems provided covering these topics.

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. 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)