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Beliebt Geometry >

9x^2+4y^2-8y-32=0

Lösung

9 x^{2} + 4 y^{2} - 8 y - 32 = 0

Lösung

(h, k) = (0, 1), a = 2, b = 3

Schritte zur Lösung

9 x^{2} + 4 y^{2} - 8 y - 32 = 0

Rewrite

9 x^{2} + 4 y^{2} - 8 y - 32 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 1 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 1), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 1), b = 3, a = 2

Graph

Beliebte Beispiele

3 x^{2} + 7 y^{2} = 1

((x+2)^2)/(36)+((y+1)^2)/(25)=1

\frac{( x + 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

4x^2+y^2-32x+16y+124=0

4 x^{2} + y^{2} - 32 x + 16 y + 124 = 0

3 x^{2} + 2 y^{2} = 11

9 x^{2} + 4 y^{2} = 24 y