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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{x ^{2}}{25} + \frac{y ^{2}}{4} = 1

y = - \frac{x ^{2}}{10} + \frac{9 x}{10} + \frac{11}{5}

2 y^{2} - 12 y - x + 5 = 0

9 x^{2} + 9 y^{2} + 18 x - 18 y + 14 = 0

x^{2} = 8 y

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