Determine whether the graph of equation x = y2 + 6 is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.
Determine whether the graph of equation x = y2 + 6 is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 36WE
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Question
Determine whether the graph of equation x = y2 + 6 is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.
Expert Solution
Step 1
The given equation is .
Replace x with -x and check the symmetry about y axis.
Which is not same as the original equation, thus the given equation is not symmetric about y-axis.
Replace y with -y and check the symmetry about x axis.
Which is same as the original equation, thus the given equation is symmetric about x-axis.
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