What is the foci-1=x^2-y^2 ?

The foci-1=x^2-y^2 is (0,sqrt(2)),(0,-sqrt(2))

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foci-1=x^2-y^2

foci

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

(0, 2), (0, - 2)

Solution steps

(h, k + c), (h, k - c)

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

(0, 0 + c), (0, 0 - c)

Compute

c :

c = 1^{2} + 1^{2} : 2

(0, 0 + 2), (0, 0 - 2)

Refine

(0, 2), (0, - 2)

\frac{( x ^{2} )}{4} - 0.15 y^{2} = 1

9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0

\frac{x ^{2}}{4} - \frac{( y + 1 ) ^{2}}{16} = 1

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 5 ) ^{2}}{9} = 1

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