center ((x+5)^2)/(1/9)-((y-3)^2)/(1/4)=1

Lösung

center

\frac{( x + 5 ) ^{2}}{\frac{1}{9}} - \frac{( y - 3 ) ^{2}}{\frac{1}{4}} = 1

(- 5, 3)

Schritte zur Lösung

\frac{( x + 5 ) ^{2}}{\frac{1}{9}} - \frac{( y - 3 ) ^{2}}{\frac{1}{4}} = 1

Rewrite

\frac{( x + 5 ) ^{2}}{\frac{1}{9}} - \frac{( y - 3 ) ^{2}}{\frac{1}{4}} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 5, 3), a = \frac{1}{3}, b = \frac{1}{2}

And the center is:

(- 5, 3)