What is -(x^2)/(a^2)+(y^2)/(b^2)=1 ?

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

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-(x^2)/(a^2)+(y^2)/(b^2)=1

- \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

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

Solution steps

- \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

Rewrite

- \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{x ^{2}}{16} - \frac{y ^{2}}{4} = 1

- \frac{1}{3} (x - 3) = (y + 5)^{2}

y, x^{2} - y^{2} = 0

25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

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

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