What is (y+2)^2-x^2=8 ?

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

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(y+2)^2-x^2=8

(y + 2)^{2} - x^{2} = 8

(h, k) = (0, - 2), a = 22, b = 22

Solution steps

(y + 2)^{2} - x^{2} = 8

Rewrite

(y + 2)^{2} - x^{2} = 8

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, - 2), a = 22, b = 22

16 x^{2} - 9 y^{2} + 576 = 0

x^{2} - y^{2} - 2 x + 4 y = 2

x^{2} - y^{2} - 100 = 0

y^{2} = 5 x^{2} - 7 x + 2

\frac{( x - 2 ) ^{2}}{1} - \frac{( y + 3 ) ^{2}}{9} = 1

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