What is (x-1)^2-(y^2)/4 =1 ?

The solution to (x-1)^2-(y^2)/4 =1 is Hyperbola with (h,k)=(1,0),a=1,b=2

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(x-1)^2-(y^2)/4 =1

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

(h, k) = (1, 0), a = 1, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 1, b = 2

- 25 x^{2} + 100 y^{2} + 10 x - 80 y = - 95

25 x^{2} - 64 (y - 6)^{2} = 1600

\frac{( x + 4 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - 4 y^{2} \geq 4

x^{2} - y^{2} = 121

What is (x-1)^2-(y^2)/4 =1 ?
The solution to (x-1)^2-(y^2)/4 =1 is Hyperbola with (h,k)=(1,0),a=1,b=2