center ((x-5)^2)/7-((y+3)^2)/9 =1

Lösung

center

\frac{( x - 5 ) ^{2}}{7} - \frac{( y + 3 ) ^{2}}{9} = 1

(5, - 3)

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{7} - \frac{( y + 3 ) ^{2}}{9} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{7} - \frac{( y + 3 ) ^{2}}{9} = 1

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{( 7 ) ^{2}} - \frac{( y - ( - 3 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 3), a = 7, b = 3

And the center is:

(5, - 3)