Concept explainers
True or False The equation is symmetric with respect to the , the , and the origin. . (pp. 19-21)
Whether the equation is symmetric with respect to the , the , and the origin is true or false.
Answer to Problem 4AYU
Solution:
Explanation of Solution
Given:
The points .
Formula used:
A graph is said be symmetric with respect to if, on the graph, the point is also on the graph.
A graph is said be symmetric with respect to if, on the graph, the point is also on the graph.
A graph is said be symmetric with respect to origin if, on the graph, the point is also on the graph.
Calculation:
To check whether is symmetric with respect to ,
Replacing by we get,
Hence, the equation is symmetric with respect to .
To check whether is symmetric with respect to ,
Replacing by we get,
Hence, the equation is symmetric with respect to .
To check whether is symmetric with respect to origin,
Replacing by and by we get,
Hence, the equation is symmetric with respect to origin.
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