What is 4(y-4)^2-(x-2)^2=36 ?

The solution to 4(y-4)^2-(x-2)^2=36 is Hyperbola with (h,k)=(2,4),a=3,b=6

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4(y-4)^2-(x-2)^2=36

4 (y - 4)^{2} - (x - 2)^{2} = 36

(h, k) = (2, 4), a = 3, b = 6

Solution steps

4 (y - 4)^{2} - (x - 2)^{2} = 36

Rewrite

4 (y - 4)^{2} - (x - 2)^{2} = 36

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{3 ^{2}} - \frac{( x - 2 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 4), a = 3, b = 6

\frac{( x - 3 ) ^{2}}{16 + ( y + 5 ) ^{2}} = 1

x^{2} - y^{2} = 71

x^{2} - y^{2} = 77

x^{2} - y^{2} = 55

x^{2} - y^{2} = 32

What is 4(y-4)^2-(x-2)^2=36 ?
The solution to 4(y-4)^2-(x-2)^2=36 is Hyperbola with (h,k)=(2,4),a=3,b=6