Graphs, Equations, And Inequalities Worksheets Page 10
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11B10
Appendix B
Review of Graphs, Equations, and Inequalities
89. Original coordinates of vertices:
Writing an Equation of a Circle
In Exercises 67– 80,
write the standard form of the equation of the specified
0, 2 ,
3, 5 ,
5, 2 ,
2,
1
circle.
Shift: three units upward, one unit to the left
67. Center:
0, 0 ;
radius: 5
90. Original coordinates of vertices:
68. Center:
0, 0 ;
radius: 6
1,
1 , 3, 2 , 1,
2
69. Center:
2,
1 ;
radius: 4
Shift: two units downward, three units to the left
70. Center:
5, 3 ;
radius: 2
Education
In Exercises 91 and 92, refer to the scatter
71. Center:
1, 2 ;
solution point:
0, 0
plot, which shows the mathematics entrance test scores
x
72. Center:
3,
2 ;
solution point:
1, 1
and the final examination scores
y
in an algebra course
73. Endpoints of a diameter:
0, 0 , 6, 8
for a sample of 10 students.
74. Endpoints of a diameter:
4,
1 , 4, 1
y
2, 1 ;
75. Center:
tangent to the -axis
x
(76, 99)
100
76. Center:
3,
2 ;
tangent to the -axis
y
(48, 90)
(58, 93)
90
77. The circle inscribed in the square with vertices
7,
2 ,
1,
2 ,
1,
10 ,
and
7,
10
(44, 79)
(65, 83)
80
(29, 74)
78. The circle inscribed in the square with vertices
(53, 76)
12, 10 ,
8, 10 ,
8,
10 ,
and
12,
10
70
y
y
79.
80.
(40, 66)
60
(22, 53)
4
(35, 57)
4
50
x
x
2
20
30
40
50
60
70
80
2
4
x
Mathematics entrance test score
−6
− 4
− 2
− 2
91. Find the entrance exam score of any student with a final
−6
exam score in the 80s.
92. Does a higher entrance exam score necessarily imply a
Sketching a Circle
In Exercises 81– 86, find the center
higher final exam score? Explain.
and radius, and sketch the circle.
2
2
81.
x
y
9
93.
(p. B1) The graph shows
the numbers of performers who were elected to the Rock
2
2
82.
x
y
16
and Roll Hall of Fame from 1991 through 2010.
2
2
83.
x
1
y
3
4
Describe any trends in the data. From these trends,
2
2
84.
x
y
1
49
predict the number of performers elected in 2011.
1
1
9
2
2
85.
x
y
(Source: )
2
2
4
2
2
2
1
25
86.
x
y
3
4
36
10
Translating Points in the Plane
In Exercises 87– 90, the
8
polygon is shifted to a new position in the plane. Find
6
the coordinates of the vertices of the polygon in the new
position.
4
y
y
87.
88.
2
(−3, 6)
7
(− 1, 3)
4
6 units
5
1991 1993 1995 1997 1999 2001 2003 2005 2007
2009
(−1, −1)
Year
x
−4
− 2
2
x
Aviation
94.
A jet plane flies from Naples, Italy in a
2 units
−7
(− 3, 0)
1
3
5
(2, − 3)
straight line to Rome, Italy, which is 120 kilometers
(−2, − 4)
− 3
(−5, 3)
north and 150 kilometers west of Naples. How far does
the plane fly?
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