What is the asymptotes of-1=x^2-y^2 ?

The asymptotes of-1=x^2-y^2 is y=x,\quad y=-x

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asymptotes of-1=x^2-y^2

asymptotes

- 1 = x^{2} - y^{2}

y = x, y = - x

Solution steps

y = \pm \frac{a}{b} (x - h) + k

Calculate Hyperbola properties

- 1 = x^{2} - y^{2} :

Up-down Hyperbola with

(h, k) = (0, 0), a = 1, b = 1

y = \frac{1}{1} (x - 0) + 0, y = - \frac{1}{1} (x - 0) + 0

Refine

y = x, y = - x

\frac{x ^{2}}{36} - \frac{y ^{2}}{16} = 1

\frac{x ^{2}}{45} - \frac{y ^{2}}{4} = 1

y^{2} - \frac{x ^{2}}{9} = 1

4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y = 2

\frac{( x - 1 ) ^{2}}{1} - \frac{( y - 2 ) ^{2}}{4} = 1

What is the asymptotes of-1=x^2-y^2 ?
The asymptotes of-1=x^2-y^2 is y=x,\quad y=-x