Question 1

In a suspension bridge, the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are 400 m apart, and the lowest point of the suspension cables is 100 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 = 800y B) y² = 1,600x C) x² = 400y D) x² = 1,600y E) x² = -400y

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Question 2

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

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A) 
B) 
C) 
D)...

Question 3

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

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Question 4

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

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Question 5

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

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Question 6

Give the coordinates of the circle's center and its radius. 
A) (-1, 8); r = 16
B) (1, -8); r = 4
C) (1, -8); r = 16
D) (-1, 8); r = 4
E) none of these

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Question 7

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

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Question 8

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

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Question 9

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).
A) 
B) 
C) 
D) 
E)

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Question 10

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)

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Question 11

Graph the following equation. 
A) 
B) 
C)

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A) 
B) 
C)...

Question 12

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

Accepted Answer

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Question 13

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

Accepted Answer

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

Question 14

Find the vertex and directrix of the parabola. 
A) vertex:  directrix:

B) vertex:  directrix:

C) vertex:  directrix:

D) vertex:  directrix:

E) vertex:  directrix:

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Question 15

Find the equation of the circle graphed below. 
A) 
B) 
C) 
D) 
E)

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Question 16

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

B) vertices:  asymptote:

C) vertices:  asymptote:

D) vertices:  asymptote:

E) vertices:  asymptote:

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Question 17

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 3).
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

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

Question 18

Give the coordinates of the circle's center and its radius. 
A) (1, 1); r = 16
B) (0, 0); r = 4
C) (1, 1); r = 4
D) (0, 0); r = 16
E) none of these

Accepted Answer

The answer of Give the coordinates of the circle's center...

Question 19

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

B) center:  vertices:

C) center:  vertices:

D) center:  vertices:

E) center:  vertices:

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Question 20

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

Accepted Answer

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

Quiz 10: Topics in Analytic Geometry

Graph the hyperbola.

Identify the graph of the following ellipse.

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

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

Give the coordinates of the circle's center and its radius.

Find the graph of the following ellipse.

Identify the conic by writing the equation in standard form.

Write the equation of the ellipse that has its center at the origin, focus at (2, 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:

Graph the following equation.

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

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

Find the vertex and directrix of the parabola.

Find the equation of the circle graphed below.

Find the vertices and asymptotes of the hyperbola.

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 3) .

Give the coordinates of the circle's center and its radius.

Find the center and vertices of the ellipse.

Graph the hyperbola.