■ Yes or No? If No, give a reason.7. If the graph of an equation is symmetric with respect to boththe x- and y-axes, is it necessarily symmetric with respect tothe origin?8. If the graph of an equation is symmetric with respect to theorigin, is it necessarily symmetric with respect to the x- ory-axes?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 8E
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■ Yes or No? If No, give a reason.
7. If the graph of an equation is symmetric with respect to both
the x- and y-axes, is it necessarily symmetric with respect to
the origin?
8. If the graph of an equation is symmetric with respect to the
origin, is it necessarily symmetric with respect to the x- or
y-axes?

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