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Question 473375: which is it symmetric with: x-axis, y-axis or origin?
y^2=x^2+4
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! which is it symmetric with: x-axis, y-axis or origin?
y^2=x^2+4
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Rearrange:
y^2 - x^2 = 4
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y^2/4 -x^2/4 = 1
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It's an ellipse with center at (0,0) so its symmetric to all three.
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Interchange x with -x and you get no change: so, symmetric to y-axis
Interchange y with -y and you get no change: so, symmetric to x-axis
Interchange both and you get no change; so, symmetric to origin
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Cheers,
Stan H.
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