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

Lösung

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

(h, k) = (- 1, 1), a = 3, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 1), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 1), a = 3, b = 2

\frac{x ^{2}}{28} + \frac{y ^{2}}{64} = 1

9 x^{2} + y^{2} - 18 x - 2 y + 1 = 0

5 x^{2} + 9 y^{2} + 30 x - 36 y + 36 = 0

\frac{( x + 6 ) ^{2}}{18} + \frac{( y + 3 ) ^{2}}{9} = 1

4 x^{2} + 8 y^{2} - 4 x - 24 y - 13 = 0