(a)
To identify: the graph of the given quadratic equation
(a)
Answer to Problem 21WE
The graph represents a parabola.
Explanation of Solution
Given:
Calculation:
Substitute 1 for A , 0 for B , 2 for C , -8 for D , and 1 for E in the given equation.
Graph the equation using any graphing utility.
Note that the graph represents a parabola.
Conclusion:
Therefore, the graph represents a parabola.
(b)
To identify: the graph of the given quadratic equation
(b)
Answer to Problem 21WE
The graph represents a
Explanation of Solution
Given:
Calculation:
Substitute 1 for A , 0 for B , 2 for C , -8 for D , and 1 for E in the given equation.
Graph the equation using any graphing utility.
Note that the graph represents a circle.
Conclusion:
Therefore, the graph represents a circle.
(c)
To identify: the graph of the given quadratic equation
(c)
Answer to Problem 21WE
The graph represents an ellipse.
Explanation of Solution
Given:
Calculation:
Substitute 1 for A , 4 for B , 2 for C , -8 for D , and 1 for E in the given equation.
Graph the equation using any graphing utility.
Note that the graph represents an ellipse.
Conclusion:
Therefore, the graph represents an ellipse.
(d)
To identify: the graph of the given quadratic equation
(d)
Answer to Problem 21WE
The graph represents a hyperbola.
Explanation of Solution
Given:
Calculation:
Substitute 1 for A , - 4 for B , 2 for C , -8 for D , and 1 for E in the given equation.
Graph the equation using any graphing utility.
Note that the graph represents a hyperbola.
Conclusion:
Therefore, the graph represents a hyperbola.
(e)
To find: the relationship between the coefficient A and B
(e)
Answer to Problem 21WE
The relationship between the coefficients A and B gives a circle when
Explanation of Solution
Calculation:
If the different equations are compared, here it is graphed with the general equation.
The relationship between the coefficients A and B gives a circle when
Conclusion:
Therefore, the relationship between the coefficients A and B gives a circle when
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
College Algebra with Modeling & Visualization (6th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Elementary Algebra
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education