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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - 81 y^{2} = 81

y^{2} - 9 x^{2} - 8 y - 54 x - 81 = 0

4 x^{2} - 12 y^{2} - 24 x + 24 y + 51 = 0

y = \frac{273 x}{340 y} x + \frac{240000}{340}

\frac{y ^{2}}{4} - \frac{x ^{2}}{12} = 1

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