What is -x^2+y^2-8y-9=0 ?

The solution to -x^2+y^2-8y-9=0 is Hyperbola with (h,k)=(0,4),a=5,b=5

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-x^2+y^2-8y-9=0

- x^{2} + y^{2} - 8 y - 9 = 0

(h, k) = (0, 4), a = 5, b = 5

Solution steps

- x^{2} + y^{2} - 8 y - 9 = 0

Rewrite

- x^{2} + y^{2} - 8 y - 9 = 0

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{5 ^{2}} - \frac{( x - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 4), a = 5, b = 5

\frac{2 x ^{2}}{25} - \frac{( y - 3 ) ^{2}}{49} = 1

9 x^{2} - y^{2} - 54 x + 45 = 0

3 y^{2} - 4 x^{2} - 6 y - 24 x - 105 = 0

\frac{y ^{2}}{36} - \frac{x ^{2}}{13} = 1

x, 4 k (x)^{2} - 4 x (x + 1) = 7

What is -x^2+y^2-8y-9=0 ?
The solution to -x^2+y^2-8y-9=0 is Hyperbola with (h,k)=(0,4),a=5,b=5