Question 1

Find the graph of the following ellipse. 
A) 
B) 
C) 
D)

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Question 2

Find the vertices and asymptotes of the hyperbola. 
A) vertices:  asymptote:

B) vertices:  asymptote:

C) vertices:  asymptote:

D) vertices:  asymptote:

E) vertices:  asymptote:

Accepted Answer

The answer of Find the vertices and asymptotes of the...

Question 3

Graph the hyperbola. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the hyperbola. 
A) 
B) 
C) 
D)...

Question 4

Find the center and vertices of the ellipse. 
A) center:  vertices:

B) center:  vertices:

C) center:  vertices:

D) center:  vertices:

E) center:  vertices:

Accepted Answer

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Question 5

Graph the hyperbola. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the hyperbola. 
A) 
B) 
C) 
D)...

Question 6

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (6, 0).
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

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Question 7

Find the standard form of the equation of the ellipse with vertices  and eccentricity  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 8

Write the equation of the ellipse with foci at (2, 8), (8, 8), and b = 2.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the equation of the ellipse with...

Question 9

In a suspension bridge, the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are 1000 m apart, and the lowest point of the suspension cables is 200 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. NOTE: This equation is used to find the length of the cable needed in the construction of the bridge. A) x² = -1,250y B) x² = 1,250y C) x² = 5,000y D) x² = 2,500y E) y² = 5,000x

Accepted Answer

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Question 10

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, 3), (8, 3)
Asymptotes: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 11

Identify the conic by writing the equation in standard form. 
A)  ; circle
B)  ; ellipse
C)  ; ellipse
D)  ; ellipse
E)  ; ellipse

Accepted Answer

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Question 12

Graph the hyperbola. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the hyperbola. 
A) 
B) 
C) 
D)...

Question 13

Identify the graph of the following ellipse. 
A) 
B) 
C)

Accepted Answer

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Question 14

Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus. This property explains whispering galleries such as Statuary Hall in Washington, D.C. The whispering gallery shown in illustration has the shape of a semi-ellipse. Find the distance sound travels as it leaves focus F and returns to focus F'. 
A) 28.3 meters
B) 28.6 meters
C) 29.1 meters
D) 30.1 meters
E) 57.2 meters

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Question 15

Find the equation of the parabola with vertex at (4, 5) and focus at (-3, 5).
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the equation of the parabola with...

Question 16

Find the standard form of the equation of the hyperbola with the given characteristics. vertices:  foci: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 17

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 4).
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Find the equation of the parabola with...

Question 18

Write the equation of the ellipse that has its center at the origin, focus at (4, 0) and vertex at (7, 0).
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the equation of the ellipse that...

Question 19

Find the standard form of the equation of the ellipse with the given characteristics. foci:  endpoints of the major axis: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 20

Write the equation of the ellipse that has its center at the origin with focus at (0, 2) and vertex at (0, 10).
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Write the equation of the ellipse that...

Quiz 10: Topics in Analytic Geometry

Find the graph of the following ellipse.

Find the vertices and asymptotes of the hyperbola.

Graph the hyperbola.

Find the center and vertices of the ellipse.

Graph the hyperbola.

Find the equation of the hyperbola with vertices (4, 0) , (-4, 0) and focus (6, 0) .

Find the standard form of the equation of the ellipse with vertices and eccentricity .

Write the equation of the ellipse with foci at (2, 8) , (8, 8) , and b = 2.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, 3) , (8, 3) Asymptotes:

Identify the conic by writing the equation in standard form.

Graph the hyperbola.

Identify the graph of the following ellipse.

Find the equation of the parabola with vertex at (4, 5) and focus at (-3, 5) .

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: foci:

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 4) .

Write the equation of the ellipse that has its center at the origin, focus at (4, 0) and vertex at (7, 0) .

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Write the equation of the ellipse that has its center at the origin with focus at (0, 2) and vertex at (0, 10) .