Question 1

Select the curve represented by the parametric equations.(indicate the orientation of the curve) ​   ​

Accepted Answer

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

Question 2

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.
​   ​

Accepted Answer

A) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
B) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
C) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
D) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
E) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
A) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
B) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
C) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
D) Symmetric with respect to   , polar axis, pole Circle with radius  
​   
E) Symmetric with respect to   , polar axis, pole Circle with radius  
​

Question 3

Select the graph of degenerate conic. ​   ​

Accepted Answer

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

Question 4

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. ​
Vertices:   ; asymptotes:   ​

Accepted Answer

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

Question 5

Determine the angle   through which the axes are rotated.Round your answer to two decimal places. ​   ​

Accepted Answer

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

Question 6

Use the discriminant to classify the graph. ​   ​

Accepted Answer

A) The graph is a hyperbola. 
B) The graph is a ellipse or circle. 
C) The graph is a parabola. 
D) The graph is a line. 
E) The graph is a cone. 
A) The graph is a hyperbola. 
B) The graph is a ellipse or circle. 
C) The graph is a parabola. 
D) The graph is a line. 
E) The graph is a cone.

Question 7

Find the slope of the line with inclination   .Round your answer to four decimal places. ​
​   ​

Accepted Answer

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

Question 8

Select the curve represented by the parametric equations. ​   ​
​

Accepted Answer

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

Question 9

Select the curve represented by the parametric equations. ​     ​

Accepted Answer

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

Question 10

By using a graphing utility select the correct graph of the polar equation.Identify the graph. ​   ​

Accepted Answer

A) ​     Hyperbola 
B) ​     Hyperbola 
C) ​     Hyperbola 
D) ​     Hyperbola 
E) ​     Hyperbola 
A) ​     Hyperbola 
B) ​     Hyperbola 
C) ​     Hyperbola 
D) ​     Hyperbola 
E) ​     Hyperbola

Question 11

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. ​
Foci:   ; major axis of length 12
​

Accepted Answer

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

Question 12

Graph the hyperbola. ​   ​

Accepted Answer

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

Question 13

Select the polar equation with graph. ​   ​

Accepted Answer

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

Question 14

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. ​   ​

Accepted Answer

A) Hyperbola 
B) Ellipse 
C) Circle 
D) Parabola 
E) None of the above 
A) Hyperbola 
B) Ellipse 
C) Circle 
D) Parabola 
E) None of the above

Select the curve represented by the parametric equations.(indicate the orientation of the curve)

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

Select the graph of degenerate conic.

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. Vertices: ; asymptotes:

Determine the angle through which the axes are rotated.Round your answer to two decimal places.

Use the discriminant to classify the graph.

Find the slope of the line with inclination .Round your answer to four decimal places.

Select the curve represented by the parametric equations.

Select the curve represented by the parametric equations.

By using a graphing utility select the correct graph of the polar equation.Identify the graph.

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Foci: ; major axis of length 12

Graph the hyperbola.

Select the polar equation with graph.

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Prerequisites

Filters

Exam 6: Topics-In-Analytic-Geometry

Select the curve represented by the parametric equations.(indicate the orientation of the curve) ​ ​

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. ​ ​

Select the graph of degenerate conic. ​ ​

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. ​ Vertices: ; asymptotes: ​

Determine the angle through which the axes are rotated.Round your answer to two decimal places. ​ ​

Use the discriminant to classify the graph. ​ ​

Find the slope of the line with inclination .Round your answer to four decimal places. ​ ​ ​

Select the curve represented by the parametric equations. ​ ​ ​

Select the curve represented by the parametric equations. ​ ​

By using a graphing utility select the correct graph of the polar equation.Identify the graph. ​ ​

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. ​ Foci: ; major axis of length 12 ​

Graph the hyperbola. ​ ​

Select the polar equation with graph. ​ ​

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Prerequisites

Filters

Select the curve represented by the parametric equations.(indicate the orientation of the curve)

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

Select the graph of degenerate conic.

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. Vertices: ; asymptotes:

Determine the angle through which the axes are rotated.Round your answer to two decimal places.

Use the discriminant to classify the graph.

Find the slope of the line with inclination .Round your answer to four decimal places.

Select the curve represented by the parametric equations.

Select the curve represented by the parametric equations.

By using a graphing utility select the correct graph of the polar equation.Identify the graph.

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Foci: ; major axis of length 12

Graph the hyperbola.

Select the polar equation with graph.

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.