center (x^2)/9-(y^2)/(16)=1

Lösung

center

\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

(0, 0)

Schritte zur Lösung

\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 4

And the center is:

(0, 0)

ce n t er \frac{( x + 4 ) ^{2}}{9} - \frac{( y - 3 ) ^{2}}{25} = 1

ce n t er \frac{y ^{2}}{16} - \frac{x ^{2}}{4} = 1

ce n t er \frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1

ce n t er \frac{x ^{2}}{4} - \frac{( y + 3 ) ^{2}}{9} = 1

ce n t er 16 x^{2} - 9 y^{2} + 64 x + 54 y - 161 = 0