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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

x^{2} + 8 y^{2} = 32

4 = 36 - 9 x^{2} - 4 y^{2}

9x^2+25y^2-18x-100y-116=0

9 x^{2} + 25 y^{2} - 18 x - 100 y - 116 = 0

(x^2)/8+(y^2)/5 =1

\frac{x ^{2}}{8} + \frac{y ^{2}}{5} = 1

9x^2+4y^2-36x+40y+100=0

9 x^{2} + 4 y^{2} - 36 x + 40 y + 100 = 0