Question 1

Graph the conic.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Solve.
-A rectangular board is 2 ft by 12 ft. How far from the center of the board should the foci be located in order to cut the largest elliptical tabletop from the board?

Accepted Answer

A)  1.0 ft 
B)  5.9 ft 
C)  0.1 ft 
D)  5.0 ft 
A)  1.0 ft 
B)  5.9 ft 
C)  0.1 ft 
D)  5.0 ft

Question 4

Match the given graph with its equation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Give the equation of the directrix of the conic in rectangular coordinates.
-

Accepted Answer

A)  y = - 6 
B)  x = - 24 
C)  x = - 12 
D)  y = - 12 
A)  y = - 6 
B)  x = - 24 
C)  x = - 12 
D)  y = - 12

Question 6

Graph the ellipse.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Graph the conic.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Match the given graph with its equation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Solve.
-An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
A = 10 mi
B = 4 mi

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Solve.
-A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 738 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 678
Km to 359 km.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Solve the problem. Round to the nearest tenth when necessary.
-The roof of a building is in the shape of the hyperbola   , where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.
A = 9 m

Accepted Answer

A)  11.9 m 
B)  28.2 m 
C)  5.3 m 
D)  141 m 
A)  11.9 m 
B)  28.2 m 
C)  5.3 m 
D)  141 m

Question 12

Give the equation of the directrix of the conic in rectangular coordinates.
-

Accepted Answer

A)  x = 1 
B)  x = - 2 
C)  x = - 8 
D)  y = - 8 
A)  x = 1 
B)  x = - 2 
C)  x = - 8 
D)  y = - 8

Question 13

Match the given graph with its equation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Identify the equation as a parabola, circle, ellipse, or hyperbola.
-

Accepted Answer

A)  Parabola 
B)  Ellipse 
C)  Circle 
D)  Hyperbola 
A)  Parabola 
B)  Ellipse 
C)  Circle 
D)  Hyperbola

Question 15

Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola.
-

Accepted Answer

A)  Parabola 
B)  Ellipse/circle 
C)  Hyperbola 
A)  Parabola 
B)  Ellipse/circle 
C)  Hyperbola

Question 16

Find the center and the radius of the circle.
-

Accepted Answer

A)  (2, -3), r = 5 
B)  (3, -2), r = 25 
C)  (-3, 2), r = 5 
D)  (-2, 3), r = 25 
A)  (2, -3), r = 5 
B)  (3, -2), r = 25 
C)  (-3, 2), r = 5 
D)  (-2, 3), r = 25

Question 17

Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Using the graph of the ellipse, determine the coordinates of the foci, vertices, and center.
-

Accepted Answer

A)    
B)    
C)    
D)  Foci (-5, -3) and (1, -3), vertices (-2, 1) and (-2, -7), center (-2, -3) 
A)    
B)    
C)    
D)  Foci (-5, -3) and (1, -3), vertices (-2, 1) and (-2, -7), center (-2, -3)

Question 19

Identify the equation as a parabola, circle, ellipse, or hyperbola.
-

Accepted Answer

A)  Hyperbola 
B)  Circle 
C)  Parabola 
D)  Ellipse 
A)  Hyperbola 
B)  Circle 
C)  Parabola 
D)  Ellipse

Question 20

Graph the parabola.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Graph the conic. -

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic. -

Solve. -A rectangular board is 2 ft by 12 ft. How far from the center of the board should the foci be located in order to cut the largest elliptical tabletop from the board?

Match the given graph with its equation. -

Give the equation of the directrix of the conic in rectangular coordinates. -

Graph the ellipse. -

Graph the conic. -

Match the given graph with its equation. -

Solve. -An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides. A = 10 mi B = 4 mi

Solve. -A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 738 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 678 Km to 359 km.

Solve the problem. Round to the nearest tenth when necessary. -The roof of a building is in the shape of the hyperbola , where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls. A = 9 m

Give the equation of the directrix of the conic in rectangular coordinates. -

Match the given graph with its equation. -

Identify the equation as a parabola, circle, ellipse, or hyperbola. -

Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola. -

Find the center and the radius of the circle. -

Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes. -

Using the graph of the ellipse, determine the coordinates of the foci, vertices, and center. -

Identify the equation as a parabola, circle, ellipse, or hyperbola. -

Graph the parabola. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Basic Algebra Review

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Exam 10: The Conic Sections

Graph the conic. -

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic. -

Solve. -A rectangular board is 2 ft by 12 ft. How far from the center of the board should the foci be located in order to cut the largest elliptical tabletop from the board?

Match the given graph with its equation. -

Give the equation of the directrix of the conic in rectangular coordinates. -

Graph the ellipse. -

Graph the conic. -

Match the given graph with its equation. -

Solve. -An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides. A = 10 mi B = 4 mi

Solve. -A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 738 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 678 Km to 359 km.

Solve the problem. Round to the nearest tenth when necessary. -The roof of a building is in the shape of the hyperbola , where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls. A = 9 m

Give the equation of the directrix of the conic in rectangular coordinates. -

Match the given graph with its equation. -

Identify the equation as a parabola, circle, ellipse, or hyperbola. -

Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola. -

Find the center and the radius of the circle. -

Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes. -

Using the graph of the ellipse, determine the coordinates of the foci, vertices, and center. -

Identify the equation as a parabola, circle, ellipse, or hyperbola. -

Graph the parabola. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Basic Algebra Review

Filters