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Beliebt Geometry >

4(x-4)^2+9(y-2)^2=36

Lösung

4 (x - 4)^{2} + 9 (y - 2)^{2} = 36

Lösung

(h, k) = (4, 2), a = 3, b = 2

Schritte zur Lösung

4 (x - 4)^{2} + 9 (y - 2)^{2} = 36

Rewrite

4 (x - 4)^{2} + 9 (y - 2)^{2} = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, 2), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, 2), a = 3, b = 2

Graph

Beliebte Beispiele

((y+7)^2)/(16)+((x-5)^2)/(25)=1

\frac{( y + 7 ) ^{2}}{16} + \frac{( x - 5 ) ^{2}}{25} = 1

2(1+2y)(y-2)=-(2x-3)(x-7)

2 (1 + 2 y) (y - 2) = - (2 x - 3) (x - 7)

((x+1)^2)/(25)+((y-3)^2)/(36)=1

\frac{( x + 1 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{36} = 1

((x+4)^2)/4+((y+2)^2)/(16)=1

\frac{( x + 4 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{16} = 1

(x^2+10x)+(4y^2+9y)=7

(x^{2} + 10 x) + (4 y^{2} + 9 y) = 7