Concept explainers
To graph: The figure provided below such that it is symmetric with respect to x -axis.
Explanation of Solution
Given information:
The unsymmetrical graph is provided below,
Graph:
Reflect the provided graph about the x -axis such that the x -coordinate of each point remains the same and y -coordinate becomes negative.
The complete graph such that it is symmetric with respect to x -axis is provided below,
Interpretation:
Graph of the equation is symmetric with respect to x -axis means that graph is not changed when reflected about the x- axis.
The graph of an equation is symmetric about the x -axis, when y is replaced by
To graph: The figure provided below such that it is symmetric with respect to y -axis.
Explanation of Solution
Given information:
The unsymmetrical graph is provided below,
Graph:
Reflect the provided graph about the y -axis such that the x -coordinate of each point becomes negative and y -coordinate remains the same.
The complete graph such that it is symmetric with respect to y -axis is provided below,
Interpretation:
Graph of the equation is symmetric with respect to y -axis means that graph is not changed when reflected about the y- axis.
The graph of an equation is symmetric about the y -axis, when x is replaced by
To graph: The figure provided below such that it is symmetric with respect to origin.
Explanation of Solution
Given information:
The unsymmetrical graph is provided below,
Graph:
Reflect the provided graph about the origin such that the x -coordinate of each point becomes negative and y -coordinate also becomes negative.
The complete graph such that it is symmetric with respect to origin is provided below,
Interpretation:
Graph of the equation is symmetric with respect to origin means that graph is not changed when rotated
The equation is symmetric with respect to origin, when y is replaced by
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning