What is ((y+1)^2)/4-(x-5)^2=4 ?

The solution to ((y+1)^2)/4-(x-5)^2=4 is Hyperbola with (h,k)=(5,-1),a=4,b=2

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((y+1)^2)/4-(x-5)^2=4

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

(h, k) = (5, - 1), a = 4, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (5, - 1), a = 4, b = 2

x = \frac{1}{8} y^{2}

x^{2} - 4 y^{2} - 2 x + 16 y = 20

9 x^{2} - 4 y^{2} - 72 x = 0

y = 2 x^{2}

\frac{x ^{2}}{7} + \frac{y ^{2}}{16} = 1

What is ((y+1)^2)/4-(x-5)^2=4 ?
The solution to ((y+1)^2)/4-(x-5)^2=4 is Hyperbola with (h,k)=(5,-1),a=4,b=2