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The equation is .
Find the -intercept by substituting in the equation.
-intercept is .
Find the -intercept by substituting in the equation.
Take square root each side.
or
The equation has two solutions and .
-intercepts are and.
Test algebraically symmetric with respect the -axis:
Substitute for in .
Because is equivalent to , the graph is symmetric with respect to the -axis.
Test algebraically symmetric with respect the -axis:
Substitute for in .
Because is not equivalent to , the graph is not symmetric with respect to the -axis.
Test algebraically symmetric with respect to the origin:
Substitute for and for in .
Because is not equivalent to , the graph is not symmetric with respect to the origin.
Intercepts are , and.
Symmetric with respect to the -axis.
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