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WorksheetsEllipses
Total questions: 21
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what type of ellipse has these characteristics?
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what type of ellipse has these characteristics?
a)
vertical
b)
horizontal
2.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the center of the ellipse?
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the center of the ellipse?
a)
(10 , 6)
b)
( - 3, 3)
c)
(3, - 3)
d)
(6, -6)
3.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?
a)
a = 10 , b = 6
b)
a = 6 , b = 10
c)
a = 36 , b = 100
d)
a = 100 , b = 36
4.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what type of an ellipse has the following characteristics?
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what type of an ellipse has the following characteristics?
a)
vertical
b)
horizontal
5.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what are the a and b values?
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what are the a and b values?
a)
a = 6, b = 3
b)
a = 6, b = 4
c)
a = 36, b = 16
d)
a = 4, b = 6
6.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what is the center of this ellipse?
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what is the center of this ellipse?
a)
(4, 6)
b)
( - 4, 3)
c)
(6, 4)
d)
(4, -3)
7.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what type of an ellipse has these characteristics?
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what type of an ellipse has these characteristics?
a)
vertical ellipse
b)
horizontal ellipse
8.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what is the center of this ellipse?
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what is the center of this ellipse?
a)
( - 8, 7)
b)
(7 , - 8)
c)
(8, -7)
d)
( - 7, 8)
9.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what are a and b in this ellipse?
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what are a and b in this ellipse?
a)
a = 8, b = 5
b)
a = 5, b = 8
c)
a = 8, b = 3
d)
a = 64, b = 25
10.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the value of c in this ellipse?
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the value of c in this ellipse?
a)
c = 8
b)
c = 16
c)
c = 10
d)
c = 3
11.
What are the vertices of the shifted ellipse?
a)
(1, 5) and (1, -5)
b)
(0, 5) and (0, -5)
c)
(1, 1) and (1, -1)
d)
(0, 1) and (0, -1)
12.
What is the center of the shifted ellipse?
a)
(0,0)
b)
(-3,1)
c)
(1,-3)
d)
(3,-1)
13.
What are the foci of the shifted ellipse?
a)
(-5,1) and (-1,1)
b)
(±√3,0)
c)
(0,1) and (-6,1)
d)
(√3 - 3,1) and (-√3 - 3,1)
14.
See Picture
a)
A
b)
B
c)
C
d)
D
15.
See Picture
a)
A
b)
B
c)
C
d)
D
16.
What is the center of the given equation?
a)
(h, k) = (4, 3)
b)
(h, k) = (-4, -3)
c)
(h, k) = (-4, 3)
d)
(h, k) = (4, -3)
17.
What are the vertices of the ellipse?
a)
(0, 0)
b)
(7, 1) and (-1, 1)
c)
(3, -5) and (3, 7)
d)
(3, 1)
18.
What is the center, a and b values for the following equation:
x2 + 4y2 + 16x - 80y + 320 = 0
x2 + 4y2 + 16x - 80y + 320 = 0
a)
(-8, 10); a = 12, b = 6
b)
(-8, 10); a = 6, b = 12
c)
(8, -10); a = 12, b = 6
d)
(8, -10); a = 6, b = 12
19.
What are the vertices of the ellipse?
a)
(1, 5) and (1, -5)
b)
(0, 5) and (0, -5)
c)
(1, 1) and (1, -1)
d)
(0, 1) and (0, -1)
20.
What is the center of the ellipse?
a)
(0, 0)
b)
(1, 5)
c)
(1, 0)
d)
(0, 1)
21.
What is the equation for the focus points on an ELLIPSE?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2
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