Question 1

Graph the second-degree equation. (Hint: Transform the equation into an equation that contains no xy term.)

Accepted Answer

The answer of Graph the second-degree equation. (Hint: Transform the...

Question 2

For the polar equation, (a) Identify the conic as either a parabola, ellipse, or hyperbola; (b) find the eccentricity and vertex (or vertices); and (c) graph.

Accepted Answer

Part A:a h

Question 3

Graph the nonlinear inequality.

Accepted Answer

The answer of Graph the nonlinear inequality.
  ...

Question 4

Match the parabola to an equation in general form.

Accepted Answer

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

Question 5

Identify the type of conic section shown in the graph.

Accepted Answer

The answer of Identify the type of conic section shown...

Question 6

Find an equation for the parabola with vertex (0, 0) and focus (0, 5).

Accepted Answer

A)  x 2 = 20y 
B)  x2 = 20(y - 5) 
C)  x2 = 5x 
D)  (x + 5)2 = 20y 
A)  x 2 = 20y 
B)  x2 = 20(y - 5) 
C)  x2 = 5x 
D)  (x + 5)2 = 20y

Question 7

Graph the hyperbola.

Accepted Answer

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

Question 8

The given rectangular equation defines a plane curve. Find the parametric equations that also corresponds to the plane curve.

Accepted Answer

The answer of The given rectangular equation defines a plane...

Question 9

Graph the nonlinear inequality.

Accepted Answer

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

Question 10

Solve the system of equations by applying the substitution method.
X2 + 6x + y2 - 18y = -72
X - y = 0

Accepted Answer

A)  (6, 6) 
B)  (-6, -6) 
C)  (2, 2), (-6, -6) 
D)  no solution 
A)  (6, 6) 
B)  (-6, -6) 
C)  (2, 2), (-6, -6) 
D)  no solution

Question 11

Graph the curve defined by the parametric equations.

Accepted Answer

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

Question 12

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.
X2 + 10x + y2 - 2y + 18 = -12

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola 
A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 13

Determine the angle of rotation necessary to transform the equation in x and y into an equation in X and Y with no XY term. Round to one decimal place.

Accepted Answer

The answer of Determine the angle of rotation necessary to...

Question 14

Find an equation for the parabola with vertex (6, 2) and focus (6, -1).

Accepted Answer

A)  x2 - 12x + 12y + 12 = 0 
B)  x2 - 12x - 12y + 12 = 0 
C)  y2 - 12y - 12x + 12 = 0 
D)  y2 + 12y + 12x + 12 = 0 
A)  x2 - 12x + 12y + 12 = 0 
B)  x2 - 12x - 12y + 12 = 0 
C)  y2 - 12y - 12x + 12 = 0 
D)  y2 + 12y + 12x + 12 = 0

Question 15

Find the standard form of the equation of a hyperbola with foci (0, 10) and (0, -10), and vertices (0, 5) and (0, -5).

Accepted Answer

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

Question 16

The given rectangular equation defines a plane curve. Find the parametric equations that also corresponds to the plane curve.

Accepted Answer

The answer of The given rectangular equation defines a plane...

Question 17

The given parametric equations define a plane curve. Find an equation in rectangular form that also corresponds to the plane curve.

Accepted Answer

The answer of The given parametric equations define a plane...

Question 18

Graph the hyperbola.

Accepted Answer

The answer of Graph the hyperbola.
  ...

Question 19

Identify the type of conic section shown in the graph.

Accepted Answer

The answer of Identify the type of conic section shown...

Question 20

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.
X2 - y = 11

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola 
A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Graph the second-degree equation. (Hint: Transform the equation into an equation that contains no xy term.)

For the polar equation, (a) Identify the conic as either a parabola, ellipse, or hyperbola; (b) find the eccentricity and vertex (or vertices); and (c) graph.

Graph the nonlinear inequality.

Match the parabola to an equation in general form.

Identify the type of conic section shown in the graph.

Find an equation for the parabola with vertex (0, 0) and focus (0, 5).

Graph the hyperbola.

The given rectangular equation defines a plane curve. Find the parametric equations that also corresponds to the plane curve.

Graph the nonlinear inequality.

Solve the system of equations by applying the substitution method. X² + 6x + y² - 18y = -72 X - y = 0

Graph the curve defined by the parametric equations.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. X² + 10x + y² - 2y + 18 = -12

Determine the angle of rotation necessary to transform the equation in x and y into an equation in X and Y with no XY term. Round to one decimal place.

Find an equation for the parabola with vertex (6, 2) and focus (6, -1).

Find the standard form of the equation of a hyperbola with foci (0, 10) and (0, -10), and vertices (0, 5) and (0, -5).

The given rectangular equation defines a plane curve. Find the parametric equations that also corresponds to the plane curve.

The given parametric equations define a plane curve. Find an equation in rectangular form that also corresponds to the plane curve.

Graph the hyperbola.

Identify the type of conic section shown in the graph.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. X² - y = 11

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 9: Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Graph the second-degree equation. (Hint: Transform the equation into an equation that contains no xy term.)

For the polar equation, (a) Identify the conic as either a parabola, ellipse, or hyperbola; (b) find the eccentricity and vertex (or vertices); and (c) graph.

Graph the nonlinear inequality.

Match the parabola to an equation in general form.

Identify the type of conic section shown in the graph.

Find an equation for the parabola with vertex (0, 0) and focus (0, 5).

Graph the hyperbola.

The given rectangular equation defines a plane curve. Find the parametric equations that also corresponds to the plane curve.

Graph the nonlinear inequality.

Solve the system of equations by applying the substitution method. X2 + 6x + y2 - 18y = -72 X - y = 0

Graph the curve defined by the parametric equations.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. X2 + 10x + y2 - 2y + 18 = -12

Determine the angle of rotation necessary to transform the equation in x and y into an equation in X and Y with no XY term. Round to one decimal place.

Find an equation for the parabola with vertex (6, 2) and focus (6, -1).

Find the standard form of the equation of a hyperbola with foci (0, 10) and (0, -10), and vertices (0, 5) and (0, -5).

The given rectangular equation defines a plane curve. Find the parametric equations that also corresponds to the plane curve.

The given parametric equations define a plane curve. Find an equation in rectangular form that also corresponds to the plane curve.

Graph the hyperbola.

Identify the type of conic section shown in the graph.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. X2 - y = 11

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Solve the system of equations by applying the substitution method. X² + 6x + y² - 18y = -72 X - y = 0

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. X² + 10x + y² - 2y + 18 = -12

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. X² - y = 11