SOLUTION: Use the algebraic tests to check for symmetry with respect to both axes and the origin. (Select all that apply.) x2 − y = 6 x-axis symmetry y-axis symmetry origin symmet

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Question 1141776: Use the algebraic tests to check for symmetry with respect to both axes and the origin. (Select all that apply.)
x2 − y = 6
x-axis symmetry
y-axis symmetry
origin symmetry
no symmetry
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


NOTE: Use "^" to denote exponents: x^2 - y = 6

x-axis symmetry: the equation is unchanged when you replace y with -y.

y-axis symmetry: the equation is unchanged then you replace x with -x.

origin symmetry: the equation is unchanged when you replace x with -x AND y with -y.

In this example, replacing x with -x leaves the equation unchanged, because (-x)^2 = x^2.

In this example, replacing y with -y results in a different equation, x^2 -(-y) = 6, or x^2+y = 6.

So what is the answer to the question?