Problem Set Answers 10.2

1.

2.

3.

4.

5.

6.

7.

8.

x

y

(0, 4)

(3, 0)(−3, 0)

(0, −4)

x

y

(0, 2)

(5, 0)(−5, 0)

(0, −2)

x

y

(0, 3)

(4, 0)(−4, 0)

(0, −3)

(−2, 0) (2, 0)

(0, −5)

(0, 5)

x

y

x

y

(0, 2)

(0, −2)

3, 0)(√‾3, 0)(−√‾

x

y

(2, 0)(−2, 0)

( 0, 3 )

( 0, − 3 )

√‾

√‾

x

y

(0, 2)

(5, 0)(−5, 0)

(0, −2)

(−3, 0) (3, 0)

(0, −2)

(0, 2)

x

y

Problem Set Answers 10.2

9.

10.

11.

12.

13.

14.

15.

16.

x

y

(4, 0)(−4, 0)(0, 2)

− 2)(0, √‾

√‾

(0, −6)

(0, 6)

(− ( 3, 0) 3, 0)x

y

√‾ √‾

x

y

(3, 0)(−3, 0)

(0, 4)

(0, −4)

Asymptotes

(−5, 0)

Asymptotes

(5, 0)

(0, 2)

(0, −2)

x

y

x

y

(0, 3)

(4, 0)(−4, 0)

(0, −3)

(−2, 0) (2, 0)

(0, 5)

(0, −5)

x

y

x

y

(0, 3)

(4, 0)(−4, 0)

(0, −3)

(−2, 0) (2, 0)

(0, 5)

(0, −5)

x

y

Problem Set Answers 10.2

17.

18.

19.

20.

21.

22.

23. x-intercepts = ±3 y-intercepts = ±224. x-intercepts = ±3

y-intercepts = ±425. x-intercepts = ±0.2

no y-intercepts26. y-intercepts = ±0.4

no x-intercepts27. x-intercepts = ± 3 __ 5

y-intercepts = ± 2 __ 5

28. x-intercepts = ± 3 __ 4

y-intercepts = ± 5 __ 4

2 4 6 8 10

2468

10

x

y

(0, −2)

(−6, 0) (6, 0)

(0, 2)

x

y

x

y

(2, 0)(−2, 0)

(0, −1)

(0, 1)

x

y

(0, 2)

(0, −2)

(1, 0)(−1, 0)

x

y

(0, 3)

(4, 0)(−4, 0)

(0, −3)

(−2, 0) (2, 0)

(0, −5)

(0, 5)

x

y

Problem Set Answers 10.2

29.

30.

31.

32.

33.

34.

35.

36.

x

y

(6, 2)(2, 2)

(4, −1)

(4, 5)

(4, 2)

(2, 7)

(2, 4) (4, 4)(0, 4)

(2, 1) x

y

x

y

(−2, 2) (2, 2)

(0, −2)

(0, 2)

(0, 6)

x 2

4(y − 2)2

16+ = 1

(3, 4)

(4, 2)(2, 2)

(3, 0)x

y

(3, 2)

x

y

(−5, 3)

(−2, 4)

(−2, 2)

(1, 3)

(−2, 3)

(x + 2)2

9(y − 3)2

1+ = 1

x

y

(2, −1)

(3, −1)(1, −1)

(2, 1)

(2, −3)

x

y

−2 6

(x − 2)2

16y2

4− = 1

y

x

(0, 6)

(0, 2)

(0, −2)

Problem Set Answers 10.2

37.

38.

39.

40.

41. x = 0

42. x = ± 5 √ __

7 ____ 4

43. x = ± 5 √ __

7 ____ 4

44. x = ± 4 √ __

5 ____ 3

45. 846. 6

47. x2 _____ 307.52 + y2

____ 2552 = 1

48. Th e equation is x 2 ___ 202 + y 2 ___ 102 = 1.

A 6-foot man could walk upright under the arch anywhere between 16 feet to the left and 16 feet to the right of the center.

49. Th e equation is x 2 ____ 2292 + y 2

____ 1952 = 1.

50. x 2 __ 9 + y

2 __ 81 = 1

51. 5.3 feet

52. x 2 ___ 144 − y 2

___ 625 = 1

53. (0, 0)54. (−2, 0), (0,−2), (0, 0)55. 4y2 + 16y + 1656. y2 + 6y + 957. x = 2y + 4

58. y = − 2 __ 3 x + 2

59. −x2 + 660. 2x2 − 461. (5y + 6)(y + 2)62. (3x − 4)(x + 7)63. y = ±264. x = ±565. x = ±2

66. y = − 6 __ 5 ; y = −2

(−5, −3) (1, −3)

x

y

(−2, −2)

(−2, −4)

(y + 3)2

1(x + 2)2

9− = 1

(3, 4)

(3, 0)

(4, 2)(2, 2)

y

x

x

y

(y − 2)2

9(x − 4)2

4− = 1

(2, 2) (6, 2)

(4, 5)

(4, −1)

(2, −1)

(3, −1)(1, −1)

y

x