Analytic Geometry B Accelerated Week 5 Page 39 of 5.docx

Analytic Geometry B Accelerated Week 5 Page 39 of 51
Analytic Geometry B Accelerated Week 5
Lesson 12.2 Combining Functions by Arithmetic Operations
Lesson 12.3 Combining Functions by Composition
Lesson 13.1 Transformations of Quadratic Functions
Lesson 13.2 Even/Odd Functions
Lesson 14.1 Writing Equations of Circles
Lesson 14.2 Writing Equations of Parabolas
Before working the problems, study the lesson listed above each
problem set.
Record the answers on the answer sheet. Turn in the answer she
et to be
graded.
For some problem sets, answer boxes are given. Choices may be
used more than
once if necessary.
Lesson 12.2 Combining Functions by Arithmetic Operations
Given , , and find each function.

1. 2. 3. .
4. • 5. 6. •
Choices for 1‐6
A) 2 14 24 B) 2 9 14 C) 3 9 27 D) 6
E) 8 15 AB) 9 12 AC) 12 AD) 9 12
AE) 5 12 BC) 6 9 BD) 12 BE) 7 15
CD) 9 12 CE ) DE ) ABC)
ABD) ABE) 27 ACD) 2 6 ACE ) 2 5
ADE) 3 3 BCD) 3 BCE) 3 CDE) 4
Given , , and find each function.
7. 8. 9.
10. 11. 12.

Given and indicate the restrictions in the domain. Choose all
restrictions that apply (there may be more than one answer). If t
here are no restrictions,
select “none”.
13.
14.
15. •
16.
17.
Choices for 7‐12
A) 2 14 24 B) 2 9 14 C) 3 9 27 D) 6
E) 8 15 AB) 9 12 AC) 12 AD) 9 12
AE) 5 12 BC) 6 9 BD) 12 BE) 7 15
CD ) 9 12 CE) DE) ABC)

ABD) ABE) 27 ACD) 2 6 ACE) 2 5
ADE) 3 3 BCD) 3 BCE) 3 CDE ) 4
Choices for 13‐17
A) x ≠ 0 B) x ≠ 4 C) x ≠ –4 D) x ≠3
E) x ≠ –3 CD) x ≠ 9 CE) x ≠ –2 CDE) None
Lesson 12.3 Combining Functions by Composition
Given and find each composition.
18. ∘ 19. ∘
20. ∘ 21. ∘
22. ∘ 23. ∘

24. ∘ 25. ∘
Choices for 18‐25
A) 2 8 8 AE) 4 6
B) 4 4 2 BC)
C) 4 6 BD) 4 18
D) 2 7 6 BE) 3
E) 4 4 CD) 16 16
AB) 4 2 CE)
AC) 8 DE) 2
AD) ABC) 4

Lesson 13.1 Transformations of Quadratic Functions
What effect on the quadratic parent graph does each of the follo
wing have?
26. if
Choices for 26‐32
27. if
28. if
29.
2( ) if
30. if
31. if
32.
Identify a,h, and k for each function.
Given:
33. a 34. h 35. k

Given:
36. a 37. h 38. k
Choices for 33‐38
A) B) C) D) E) 0
AB) 1 AC) 2 AD) 3 AE) 4
A) Narrower
B) Reflection in the x‐axis
C) Translated down
D) Translated left
E) Translated right
AB) Translated up
AC) Wider

Compare each function to the parent graph
39. 2
1
( )
2
42.
40. 43.
22( )
3
41.
Choices for 39‐43
A) Reflection in the x‐axis and narrower than the parent
B) Reflection in the x‐axis and wider than the parent
C) Reflection in the x‐axis and the same width as the parent
D) Not a reflection in the x‐axis and narrower than the parent
E) Not a reflection in the x‐axis and wider than the parent

Compare each function to the parent graph
44.
47.
45. 48.
(Choose 2 answers)
46. 49.
(Choose 3 answers)
Choices for 44‐49
A) Narrower B) Wider
C) Translated down 3 units D) Translated left 3 units
E) Translated right 3 units AB) Translated up 3 units
Choose the equation that could model the graph described.
50. The graph is a vertical shrink and a translation 5 units left
and 6 units down of the graph
A)
B)
2

C)
4
D)
51. The graph is reflection in the x‐axis, a vertical stretch, and
a translation 8 units right and 9
units up of the graph
A)
B)
C) ) 8 9
3
D)
Lesson 13. 2 Even/Odd Functions
Determine whether the function represented by the graph is A)
Even B) Odd or C) Neither.
52. 53.
54. 55.

Determine whether the function represented by the equation is
A) Even B) Odd or
C) Neither.
56. 57.
58.
59.
60.
Lesson 14.1 Writing Equations of Circles
Write the equation of the circle in standard form that has the giv
en center and radius.
61. Center: (1, 3) 62. Center: (0, 4) 63. Center: (‐4, 0)
Radius = 3 Radius = 1 Radius = 4
64. Center: (‐1, ‐2) 65. Center: (1, 2) 66. Center: (3, ‐1)
Radius = 1 Radius = 4 Radius = 2
67. Center: (2, ‐1) 68. Center: (‐3, 4) 69. Center: (0, 0)

Radius = √3 Radius = 6 Radius = 8
70. Center: (0, 3) 71. Center: (0, 0) 72. Center: (‐3, 0)
Radius = 3√2 Radius = 1 Radius = 2√3
Choices for 61‐72
A) 2 1 9 B) 1 2 16 C) 3 12
D) 4 1 E) 2 1 3 AB) 3 1 4
AC) 3 4 36 AD) 1 2 8 AE) 1 3 9
BC) 1 2 2 BD) 4 16 BE) 3 1 4
CD) 1 2 1 CE) 3 4 12 DE) 3 18
ABC) 64 ABD) 16 ABE) 1
-10 -8 -6 -4 -2 2 4 6 8 10

-10
-8
-6
-4
-2
2
4
6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2

2
4
6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10

x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8

-6
-4
-2
2
4
6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4

6
8
10
x
y
Given the graph of a circle, write its equation in standard form.
The radius will be an integer.
73. 74.
75. 76.
77. 78.

Choices for 73‐78
A) 16 B) 2 C) 25
D) 81 E) 20 AB) 18
AC) 100 AD) 14 AE) 49
BC) 8 BD) 4 BE) 10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4

6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y

-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4

-2
2
4
6
8
10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8

10
x
y
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Given the graph of a circle, write its equation in standard form.
The radius will be an integer.
79. 80.

81. 82.
83. 84.
Choices for 79‐84
A) 4 5 9 B) 5 4 6 C) 4 36
D) 4 36 E) 4 12 AB) 3 2 16
AC) 4 12 AD) 3 2 8 AE) 4 5 6
BC) 3 2 16 BD) 5 4 9 BE) 3 2 8

Write the equation of the circle in standard form.
85. The range of a weather radar can be described with a circle.
Suppose a certain weather
radar can detect precipitation up to 150 miles away. If the weath
er radar were at the origin of
the coordinate plane, then what would be the equation of the cir
cle that describes the
boundary of the radar’s range?
A) 150 150 1 B) 150 150 1
C) 300 D) 22,500
86. An earthquake could be felt 80 miles away from its epicente
r. If the epicenter of the
earthquake was considered to be at the origin of the coordinate
plane, then what is the
equation that describes the boundary of the earthquake being fel
t?
A) 80 80 1 B) 160 160 1
C) 6400 D) 80

87. A cell phone tower signal reached a radius of 12 miles. If th
e tower were considered to be at
the origin of the coordinate plane, then what is the equation that
describes the boundary of the
cell tower’s signal?
A) 144 144 1 B) 12 12 144
C) 24 D) 144
Write the equation of the given circle in standard form by compl
eting the square when
necessary.
88. 5 5 45 0 89. 14 2 49 0
90. 12 2 15 0 91. 6 8 24 0
Choices for 88‐91
A) 7 1 1 B) 12 2 15 C) 1 6
D) 1 1 E) 2 1 17 AB) 12 9
AC) 14 2 50 AD) 7 50 AE) 3 4 1
BC) 6 8 24 BD) 14 2 49 BE) 6 27
CD) 2 1 8 CE) 6 1 22 DE) 9

Lesson 14.2 Writing Equations of Parabolas
Write an equation of a parabola that has the given graph. The fo
cus and directrix are shown
on the graph.
92.
Write an equation of a parabola that has the given directrix and
a focus.
on the graph. (Hint: find the vertex and p.)
93. 94.

Choices for 93‐94
A) 4 1 B) 4 1 C) 4 1 D) 4 1
E) 1 12 1 AB) 1 12 1 AC) 1 12 2 AD) 1 12 2
AE ) 1 12 1 BC) 1 12 2 BD) 1 12 1 BE) 1 12 2
CD) 8
Choices for 92
A) 4 B) 4 C) 4 D) 4
on the graph. (Hint: find the vertex and p.)
95.
Choices for 95
A) 4 1 B) 4 1 C) 4 1 D) 4 1

E) 1 12 1 AB) 1 12 1 AC ) 1 12 2 AD) 1 12 2
AE) 1 12 1 BC) 1 12 2 BD) 1 12 1 BE) 1 12 2
CD) 8
Write the equation of the parabola with the given focus and dire
ctrix. (Hint: identify the
vertex and p.)
96. focus: (0, 0) 97. focus: (0, ‐2)
98. focus: (0, 2) 99. focus: (3, 1)
directrix: y = 2 directrix: y = ‐4
directrix: y = 4 directrix: y = ‐1
Choices for 96‐99
A) 4 3 B) 4 3 C) 4 1
D) 12 1 E) 12 1 AB) 8
AC) 3 4 AD) 2 4 1 AE) 3 4
BC) 4 1 BD) 2 4 1 BE) 8 2
CD) 8 2 CE) 4 3

Write the equation of the parabola.
100. The cross section of a satellite dish is a parabola. The recei
ver is located at the focus, 2.5
feet above the vertex. Assume the vertex is at the origin. Write
an equation for the cross
section of the dish opening upward.
A) 2.5 B) 10 C) 2.5 D) 10

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Analytic Geometry B Accelerated Week 5 Page 39 of 5.docx