What is 4x^2-16y^2-64y-128=0 ?

The solution to 4x^2-16y^2-64y-128=0 is Hyperbola with (h,k)=(0,-2),a=4,b=2

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4x^2-16y^2-64y-128=0

4 x^{2} - 16 y^{2} - 64 y - 128 = 0

(h, k) = (0, - 2), a = 4, b = 2

Solution steps

4 x^{2} - 16 y^{2} - 64 y - 128 = 0

Rewrite

4 x^{2} - 16 y^{2} - 64 y - 128 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, - 2), a = 4, b = 2

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

x^{2} - 9 y^{2} + 2 x - 5 yy - 80 = 0

500 a^{2} = 4368.932 + 500 b^{2}

9 a^{2} = 9 b^{2} + 4455

4 x^{2} - y^{2} + 8 y - 32 = 0

What is 4x^2-16y^2-64y-128=0 ?
The solution to 4x^2-16y^2-64y-128=0 is Hyperbola with (h,k)=(0,-2),a=4,b=2