What is 4x^2-12y^2-16x-72y-44=0 ?

The solution to 4x^2-12y^2-16x-72y-44=0 is Hyperbola with (h,k)=(2,-3),a=2,b=2sqrt(3)

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4x^2-12y^2-16x-72y-44=0

4 x^{2} - 12 y^{2} - 16 x - 72 y - 44 = 0

(h, k) = (2, - 3), a = 2, b = 23

Solution steps

4 x^{2} - 12 y^{2} - 16 x - 72 y - 44 = 0

Rewrite

4 x^{2} - 12 y^{2} - 16 x - 72 y - 44 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, - 3), a = 2, b = 23

y^{2} = - 2 x

(x - 2)^{2} + (y - 3)^{2} = 64

4 x^{2} - 9 y^{2} = 36

4 x^{2} - 9 y^{2} = 36

f (x) = x^{2} - 8

What is 4x^2-12y^2-16x-72y-44=0 ?
The solution to 4x^2-12y^2-16x-72y-44=0 is Hyperbola with (h,k)=(2,-3),a=2,b=2sqrt(3)