SOLUTION: how to trace (x^2-a^2)*(y^2-b^2)=a^2*b^2

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Question 359583: how to trace (x^2-a^2)*(y^2-b^2)=a^2*b^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean plot the function.
It's difficult without having some handle on a and b.
The function would be of the form,
y%5E2-b%5E2=a%5E2b%5E2%2F%28x%5E2-a%5E2%29
y%5E2=a%5E2b%5E2%2F%28x%5E2-a%5E2%29%2Bb%5E2
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Here's the effect of changing b, keeping a fixed.
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.Red:a=1,b=1
Green:a=1,b=2
Blue:a=1,b=3
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Here's the effect of changing a, keeping b fixed.
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Red:a=1,b=1
Green:a=2,b=1
Blue:a=3,b=1
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(0,0) is a solution independent of a and b
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When a=0, the solutions are of the form, y+=+0+%2B-+b and x=0.
When b=0, the solutions are of the form, x+=+0+%2B-+a and y=0.
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