What is (x-(-2))^2-(y-(-5))^2=(12)^2 ?

The solution to (x-(-2))^2-(y-(-5))^2=(12)^2 is Hyperbola with (h,k)=(-2,-5),a=12,b=12

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(x-(-2))^2-(y-(-5))^2=(12)^2

(x - (- 2))^{2} - (y - (- 5))^{2} = (12)^{2}

(h, k) = (- 2, - 5), a = 12, b = 12

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 2, - 5), a = 12, b = 12

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What is (x-(-2))^2-(y-(-5))^2=(12)^2 ?
The solution to (x-(-2))^2-(y-(-5))^2=(12)^2 is Hyperbola with (h,k)=(-2,-5),a=12,b=12