Quiz about Ellipses

Question 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?

Accepted Answer

horizontal

Answer

vertical

Question 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?

Accepted Answer

(3, - 3)

Answer

(10 , 6)

Answer

( - 3, 3)

Answer

(6, -6)

Question 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?

Accepted Answer

a = 10 , b = 6

Answer

a = 6 , b = 10

Answer

a = 36 , b = 100

Answer

a = 100 , b = 36

Question 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?

Accepted Answer

vertical

Answer

horizontal

Question 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?

Accepted Answer

a = 6, b = 4

Answer

a = 6, b = 3

Answer

a = 36, b = 16

Answer

a = 4, b = 6

Question 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?

Accepted Answer

(4, -3)

Answer

(4, 6)

Answer

( - 4, 3)

Answer

(6, 4)

Question 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?

Accepted Answer

vertical ellipse

Answer

horizontal ellipse

Question 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?

Accepted Answer

( - 8, 7)

Answer

(7 , - 8)

Answer

(8, -7)

Answer

( - 7, 8)

Question 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?

Accepted Answer

a = 8, b = 5

Answer

a = 5, b = 8

Answer

a = 8, b = 3

Answer

a = 64, b = 25

Question 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?

Accepted Answer

c = 8

Answer

c = 16

Answer

c = 10

Answer

c = 3

Question 11

What are the vertices of the shifted ellipse?

Accepted Answer

(1, 5) and (1, -5)

Answer

(0, 5) and (0, -5)

Answer

(1, 1) and (1, -1)

Answer

(0, 1) and (0, -1)

Question 12

What is the center of the shifted ellipse?

Accepted Answer

(-3,1)

Answer

(0,0)

Answer

(1,-3)

Answer

(3,-1)

Question 13

See Picture

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 14

See Picture

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 15

What is the center of the given equation?

Accepted Answer

(h, k) = (-4, -3)

Answer

(h, k) = (4, 3)

Answer

(h, k) = (-4, 3)

Answer

(h, k) = (4, -3)

Question 16

What are the vertices of the ellipse?

Accepted Answer

(3, -5) and (3, 7)

Answer

(0, 0)

Answer

(7, 1) and (-1, 1)

Answer

(3, 1)

Question 17

What is the center, a and b values for the following equation:
x² + 4y² + 16x - 80y + 320 = 0

Accepted Answer

(-8, 10); a = 12, b = 6

Answer

(-8, 10); a = 6, b = 12

Answer

(8, -10); a = 12, b = 6

Answer

(8, -10); a = 6, b = 12

Question 18

What are the vertices of the ellipse?

Accepted Answer

(1, 5) and (1, -5)

Answer

(0, 5) and (0, -5)

Answer

(1, 1) and (1, -1)

Answer

(0, 1) and (0, -1)

Question 19

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 20

What is the equation for the focus points on an ELLIPSE?

Accepted Answer

c² = a² - b²

Answer

c² = a² + b²

Answer

1/4d

Answer

(x-h)² + (y-k)² = r²

Ellipses

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