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The two graphs above are the graphs of functions $y=\sqrt{1-x^2}$ and $y=\sqrt{1+x^2}$.

How do you figure out the equations of the corresponding circle and hyperbola?

Gerry Myerson
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Burt
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    If you mean the equation of the entire aforementioned circle and hyperbola, you just square both sides. –  Nov 21 '19 at 23:09

1 Answers1

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Squaring either equation gives you what you want: $y^2=1-x^2$ for the circle, and $y^2=1+x^2$ for the hyperbola. Rearrange either any way you want.

KesterKester
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