What is 1-(x^2)/4+(y-1)^2=0 ?

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

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1-(x^2)/4+(y-1)^2=0

1 - \frac{x ^{2}}{4} + (y - 1)^{2} = 0

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

Solution steps

1 - \frac{x ^{2}}{4} + (y - 1)^{2} = 0

Rewrite

1 - \frac{x ^{2}}{4} + (y - 1)^{2} = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

- 8 x^{2} + 2 y^{2} - 12 = 0

9 x^{2} - y^{2} + 6 y - 18 = 0

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

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

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