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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 2

4x^2+y^2-32x+4y+64=0

4 x^{2} + y^{2} - 32 x + 4 y + 64 = 0

(x^2)/(289)+(y^2)/(225)=1

\frac{x ^{2}}{289} + \frac{y ^{2}}{225} = 1

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

4 x^{2} + y^{2} = 2 y + 3