1. Exploring Quadratic Graphs
ALGEBRA 1 LESSON 10-1
pages 513–516  Exercises
1. (2, 5); max.
2. (–3, –2); min.
3. (2, 1); min. 4. 5. 6. 7. 8. 9.
10. y = x2, y = 3x2, y = 4x2
11. ƒ(x) = x2, ƒ(x) = x2, ƒ(x) = 5x2
12. y = – x2, y = – x2, y = 5x2
13. ƒ(x) = – x2, ƒ(x) = –2x2,
ƒ(x) = –4x2
14. 1 2 1 3 1 4 1 2 2 3
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2. Exploring Quadratic Graphs
ALGEBRA 1 LESSON 10-1
21. E
22. A
23. F
24. B
25. C
26. D
27. The graph of y = 2x2
is narrower.
28. The graph of y = –x2
opens downward.
29. The graph of y = 1.5x2
30. The graph of y = x2
is wider.
15.
16.
17.
18.
19.
20. 1 2
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3. Exploring Quadratic Graphs
ALGEBRA 1 LESSON 10-1
31.
32.
33.
34.
35.
36.
37.
38. a.
b. 184 ft
c. 56 ft
39. a. 0 < r < 6
b. 0 < A < c.
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4. Exploring Quadratic Graphs
ALGEBRA 1 LESSON 10-1
40. K, L
41. M
42. K
43. M
44. Answers may vary. Sample:
a. y = 5x2 b. y = –5x2 c. y = 3x2
45. a.
b. 16 ft
c. No; the apple falls 48 ft
from t = 1 to t = 2,
because it is accelerating.
46. a. c and a and c have opp. signs.
b. c and a and c have the same signs.
47. a.
b. 0 < x < 12; the side length of the square
garden must be less than the width
of the patio.
c. 96 < A < 240; as the side length of the
garden increases from 0 to 12, the area
of the patio decreases from 240 to 96.
d. about 6 ft = / = /
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5. Exploring Quadratic Graphs
ALGEBRA 1 LESSON 10-1
50. B
51. G
52. D
53. [4] a.
b. 3.5 s
[3] estimate incorrect or missing
[2] error in table or graph
[1] table OR reasonable graph only
48. a. a > 0
b. |a| > 1
49. a. b.
t h
0 200
1 184
2 136
3   56
4 –56
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6. Exploring Quadratic Graphs
ALGEBRA 1 LESSON 10-1
54. (x2 + 2)(x – 4)
55. (3a2 – 2)(5a – 6)
56. (7b2 + 1)(b + 2)
57. (y + 2)(y – 2)(y + 3)
58. 2n(n + 3)(n – 4)
59. 3m(2m + 3)(5m + 1)
60. 15x2 – 20x
61. 9n2 – 63n
62. –12t t 2
63. 12m6 – 4m5 + 20m2
64. –15y6 – 10y4 + 20y
65. –12c5 + 21c4 – 24c3
balloons
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