Question 1

Which set of parametric equations represents the following line or conic?Use   and   .Hyperbola: vertices   ,foci

Accepted Answer

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

Question 2

Match the graph with its equation.

Accepted Answer

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D)    
E)    
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B)    
C)    
D)    
E)

Question 3

Find the vertices and asymptotes of the hyperbola.

Accepted Answer

A) vertices: (0, F1F1F1S1F1F1F105) asymptote:   
B) vertices: (0, F1F1F1S1F1F1F105) asymptote:   
C) vertices: (F1F1F1S1F1F1F105, 0) asymptote:   
D) vertices: (F1F1F1S1F1F1F105, 0) asymptote:   
E) vertices: (F1F1F1S1F1F1F105, 2) asymptote:   
A) vertices: (0, F1F1F1S1F1F1F105) asymptote:   
B) vertices: (0, F1F1F1S1F1F1F105) asymptote:   
C) vertices: (F1F1F1S1F1F1F105, 0) asymptote:   
D) vertices: (F1F1F1S1F1F1F105, 0) asymptote:   
E) vertices: (F1F1F1S1F1F1F105, 2) asymptote:

Question 4

Find the standard form of the equation of the ellipse with the given characteristics.center: (3, -5)   foci: (-2, -5), (8, -5)

Accepted Answer

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B)    
C)    
D)    
E)    
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E)

Question 5

Find the center and foci of the ellipse.

Accepted Answer

A) center: (5, -9) foci: (5, -15), (5, -3) 
B) center: (-5, 9) foci: (-5, 3), (-5, 15) 
C) center: (-5, 9) foci: (-11, 9), (1, 9) 
D) center: (5, -9) foci: (-1, 9), (11, 9) 
E) center: (-5, 9) foci: (-1, -9), (11, -9) 
A) center: (5, -9) foci: (5, -15), (5, -3) 
B) center: (-5, 9) foci: (-5, 3), (-5, 15) 
C) center: (-5, 9) foci: (-11, 9), (1, 9) 
D) center: (5, -9) foci: (-1, 9), (11, 9) 
E) center: (-5, 9) foci: (-1, -9), (11, -9)

Question 6

Use a graphing utility to graph the rotated conic.   Use either grid below for your graph, whichever is more convenient.

Accepted Answer

The answer of Use a graphing utility to graph the...

Question 7

Find the standard form of the equation of the hyperbola with the given characteristics.vertices: (0, 4), (4, 4) asymptotes:   ,

Accepted Answer

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

Question 8

Find a polar equation of the conic with the given characteristics and with the focus at the pole.Conic VertexParabola

Accepted Answer

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

Question 9

Which group of polar coordinates contains only representations of the point shown in the graph?

Accepted Answer

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

Question 10

Find a polar equation of the conic with the given characteristics and with one focus at the pole.Conic VerticesHyperbola

Accepted Answer

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

Question 11

Use a graphing utility to graph the curve represented by the parametric equations.

Accepted Answer

The answer of Use a graphing utility to graph the...

Question 12

Find the center and vertices of the hyperbola.

Accepted Answer

A) center: (2, 5) vertices: (2, 3), (2, 7) 
B) center: (-2, -5) vertices: (-2, -7), (-2, -3) 
C) center: (-2, -5) vertices: (-4, -5), (0, -5) 
D) center: (2, 5) vertices: (0, 5), (4, 5) 
E) center: (5, 2) vertices: (3, 2), (7, 2) 
A) center: (2, 5) vertices: (2, 3), (2, 7) 
B) center: (-2, -5) vertices: (-2, -7), (-2, -3) 
C) center: (-2, -5) vertices: (-4, -5), (0, -5) 
D) center: (2, 5) vertices: (0, 5), (4, 5) 
E) center: (5, 2) vertices: (3, 2), (7, 2)

Question 13

Match the graph to its polar equation.

Accepted Answer

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

Question 14

Find the center and vertices of the ellipse.   = 0

Accepted Answer

A) center: (-5, -9) vertices: (-8, -9), (-2, -9) 
B) center: (9, 5) vertices: (8, 5), (10, 5) 
C) center: (-9, -5) vertices: (-10, -5), (-8, -5) 
D) center: (-9, -5) vertices: (-12, -5), (-6, -5) 
E) center: (9, 5) vertices: (6, 5), (12, 5) 
A) center: (-5, -9) vertices: (-8, -9), (-2, -9) 
B) center: (9, 5) vertices: (8, 5), (10, 5) 
C) center: (-9, -5) vertices: (-10, -5), (-8, -5) 
D) center: (-9, -5) vertices: (-12, -5), (-6, -5) 
E) center: (9, 5) vertices: (6, 5), (12, 5)

Question 15

Which answer is a set of polar coordinates for the following rectangular coordinates? Answers are rounded to three decimal places, if necessary.

Accepted Answer

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

Question 16

Find the standard form of the equation of the ellipse with the given characteristics.vertices: (-1, 1), (-1, 17) minor axis of length 14

Accepted Answer

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

Question 17

Find the standard form of the equation of the hyperbola with the given characteristics.foci: (F1F1F1S1F1F1F105, 0) asymptotes:

Accepted Answer

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

Question 18

Find the standard form of the parabola with the given characteristics.focus: (8, -11) directrix: y = -1

Accepted Answer

A) (x - 8)2 = -20(y + 6) 
B) (x + 8)2 = -20(y - 6) 
C) (x + 6)2 = -20(y - 8) 
D) (x - 6)2 = -20(y + 8) 
E) (x + 8)2 = -5(y - 6) 
A) (x - 8)2 = -20(y + 6) 
B) (x + 8)2 = -20(y - 6) 
C) (x + 6)2 = -20(y - 8) 
D) (x - 6)2 = -20(y + 8) 
E) (x + 8)2 = -5(y - 6)

Question 19

Write the polar equation of the conic for   . Identify the conic.

Accepted Answer

A) ellipse:   
B) ellipse:   
C) parabola:   
D) hyperbola:   
E) hyperbola:   
A) ellipse:   
B) ellipse:   
C) parabola:   
D) hyperbola:   
E) hyperbola:

Question 20

Match the parametric equations to the curve they represent and the corresponding rectangular equation. Adjust the domain of the resulting rectangular equation if necessary.

Accepted Answer

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

Which set of parametric equations represents the following line or conic?Use and .Hyperbola: vertices ,foci

Match the graph with its equation.

Find the vertices and asymptotes of the hyperbola.

Find the standard form of the equation of the ellipse with the given characteristics.center: (3, -5) foci: (-2, -5), (8, -5)

Find the center and foci of the ellipse.

Use a graphing utility to graph the rotated conic. Use either grid below for your graph, whichever is more convenient.

Find the standard form of the equation of the hyperbola with the given characteristics.vertices: (0, 4), (4, 4) asymptotes: ,

Find a polar equation of the conic with the given characteristics and with the focus at the pole.Conic VertexParabola

Which group of polar coordinates contains only representations of the point shown in the graph?

Find a polar equation of the conic with the given characteristics and with one focus at the pole.Conic VerticesHyperbola

Use a graphing utility to graph the curve represented by the parametric equations.

Find the center and vertices of the hyperbola.

Match the graph to its polar equation.

Find the center and vertices of the ellipse. = 0

Which answer is a set of polar coordinates for the following rectangular coordinates? Answers are rounded to three decimal places, if necessary.

Find the standard form of the equation of the ellipse with the given characteristics.vertices: (-1, 1), (-1, 17) minor axis of length 14

Find the standard form of the equation of the hyperbola with the given characteristics.foci: (5, 0) asymptotes:

Find the standard form of the parabola with the given characteristics.focus: (8, -11) directrix: y = -1

Write the polar equation of the conic for . Identify the conic.

Match the parametric equations to the curve they represent and the corresponding rectangular equation. Adjust the domain of the resulting rectangular equation if necessary.

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Additional Topics in Trigonometry

Filters

Exam 13: Topics in Analytic Geometry

Which set of parametric equations represents the following line or conic?Use and .Hyperbola: vertices ,foci

Match the graph with its equation.

Find the vertices and asymptotes of the hyperbola.

Find the standard form of the equation of the ellipse with the given characteristics.center: (3, -5) foci: (-2, -5), (8, -5)

Find the center and foci of the ellipse.

Use a graphing utility to graph the rotated conic. Use either grid below for your graph, whichever is more convenient.

Find the standard form of the equation of the hyperbola with the given characteristics.vertices: (0, 4), (4, 4) asymptotes: ,

Find a polar equation of the conic with the given characteristics and with the focus at the pole.Conic VertexParabola

Which group of polar coordinates contains only representations of the point shown in the graph?

Find a polar equation of the conic with the given characteristics and with one focus at the pole.Conic VerticesHyperbola

Use a graphing utility to graph the curve represented by the parametric equations.

Find the center and vertices of the hyperbola.

Match the graph to its polar equation.

Find the center and vertices of the ellipse. = 0

Which answer is a set of polar coordinates for the following rectangular coordinates? Answers are rounded to three decimal places, if necessary.

Find the standard form of the equation of the ellipse with the given characteristics.vertices: (-1, 1), (-1, 17) minor axis of length 14

Find the standard form of the equation of the hyperbola with the given characteristics.foci: (5, 0) asymptotes:

Find the standard form of the parabola with the given characteristics.focus: (8, -11) directrix: y = -1

Write the polar equation of the conic for . Identify the conic.

Match the parametric equations to the curve they represent and the corresponding rectangular equation. Adjust the domain of the resulting rectangular equation if necessary.

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Additional Topics in Trigonometry

Filters