What is ((y+6)^2)/(25)-(x-2)^2=1 ?

The solution to ((y+6)^2)/(25)-(x-2)^2=1 is Hyperbola with (h,k)=(2,-6),a=5,b=1

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((y+6)^2)/(25)-(x-2)^2=1

\frac{( y + 6 ) ^{2}}{25} - (x - 2)^{2} = 1

(h, k) = (2, - 6), a = 5, b = 1

Solution steps

\frac{( y + 6 ) ^{2}}{25} - (x - 2)^{2} = 1

Rewrite

\frac{( y + 6 ) ^{2}}{25} - (x - 2)^{2} = 1

in the form of a standard hyperbola equation

\frac{( y - ( - 6 ) ) ^{2}}{5 ^{2}} - \frac{( x - 2 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, - 6), a = 5, b = 1

y^{2} \leq x^{2} - 1

7 x^{2} - 7 y^{2} + 5 x - 10 y + 22 = 0

\frac{( y - 4 ) ^{2}}{49} - \frac{( x + 5 ) ^{2}}{16} = 1

\frac{( y + 3 ) ^{2}}{9} - \frac{4 ( x + 2 ) ^{2}}{25} = 1

y^{2} - z^{2} = 16

What is ((y+6)^2)/(25)-(x-2)^2=1 ?
The solution to ((y+6)^2)/(25)-(x-2)^2=1 is Hyperbola with (h,k)=(2,-6),a=5,b=1