Name ________________________________________ Date __________________ Class __________________
PRACTICE A
Find the center and radius of a circle that has a diameter with the given endpoints.
5. (8, −7) and (2, 1)
6. (4, 21) and (−12, −9)
________________________________________
__________________________________________
Solve.
7.Alice drew a triangle on a coordinate plane with
the vertices located at (−3, −8), (4, 6), and (9, −5).
Find the perimeter of the triangle to the nearest unit. ______________________________
PRACTICE B
Find the center and radius of a circle that has a diameter with the given endpoints.
11. (−10, 5) and (−5, 17)
________________________
12. (8, 1) and (−4, 10)
________________________
13. (−7, 12) and (11, −68)
________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2
Name ________________________________________ Date __________________ Class __________________
INTRODUCTION TO CONIC SECTIONS
b. (0, 2), (0, −2), (4, 0), (−4, 0)
Practice A
1. a. y =
64 − x 2
64 − x 2
and y = −
49
49
b. Ellipse
c. Center: (0, 0); intercepts: (0, 1.14),
(0, −1.14), (8, 0), (−8, 0)
2. a. y =
14. a. Ellipse
225 − x 2 and y = − 225 − x 2
c. 320 million miles
Practice C
1. Ellipse; center: (0, 0); intercepts: (0,
10), (0, −10), (11, 0), (−11, 0)
2. Ellipse; center: (0, 0); intercepts: (0, 2),
(0, −2), (14, 0), (−14, 0)
b. Circle
3. Ellipse; center: (0, 0); intercepts: (0, 9),
(0, −9), (18, 0), (−18, 0)
c. Center: (0, 0); intercepts: (0, 15),
(0, −15), (15, 0), (−15, 0)
4. Circle; center: (0, 0); intercepts: (0, 17),
(0, −17), (17, 0), (−17, 0)
x 2 − 16
x 2 − 16
and y = −
4
4
b. Hyperbola
c. (4, 0), (−4, 0); horizontally
x
x
4. a. y =
and y = −
8
8
3. a. y =
b. Parabola
c. (0, 0); opens right
5. Center (5, −3); radius = 5
6. Center (−4, 6); radius = 17
7. 40 units
Practice B
1. Circle; center: (0, 0); intercepts: (0, 3),
(0, −3), (3, 0), (−3, 0)
2. Ellipse; center (0, 0); intercepts: (0, 1),
(0, −1), (5, 0), (−5, 0)
3. Circle; center (0, 0); intercepts: (0, 4),
(0, −4), (4, 0), (−4, 0)
4. Ellipse; center (0, 0); intercepts: (0, 7),
(0, −7), (2, 0), (−2, 0)
5. Parabola; (0, −3); opens upward
6. Hyperbola; (0, 2), (0, −2); vertically
7. Hyperbola; (1, 0), (−1, 0); horizontally
8. Parabola; (−4, 0); opens right
9. Parabola; (0, −2); opens upward
10. Parabola; (3, 0); opens right
5. Parabola; (0, 0); opens left
6. Parabola; (0, 3); opens downward
7. Hyperbola; (5, 0), (−5, 0); horizontally
8. Hyperbola; (0, 5), (0, −5); vertically
9. Parabola; (6, 0); opens right
10. Hyperbola; (6, 0), (−6, 0); horizontally
11. Center (3, −58); radius = 61
12. Center (0, 24); radius = 41
13. Center (21.5, −4.25) radius = 21.25
14. a. Ellipse
b. (0, 8), (0, −8), (2, 0), (−2, 0)
c. 960 million miles
Reteach
1. a.
36 − x 2
b. Circle
c. (0,0)
d. (6, 0), (−6, 0) (0, 6), (0, −6)
2. a. 16 + x2
b. y = 16 + x 2 and y = − 16 + x 2
c. (0, 4), (0, −4)
d. Vertically
3. a. x2 − 36
b. y = x 2 − 36 and y = − x 2 − 36
11. Center (−7.5, 11); radius = 6.5
12. Center (2, 5.5); radius = 7.5
13. Center (2, −28); radius = 41
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2