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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

4x^2+9y^2-40x-54y+145=0

4 x^{2} + 9 y^{2} - 40 x - 54 y + 145 = 0

9(x-1)^2+4(y-2)^2=36

9 (x - 1)^{2} + 4 (y - 2)^{2} = 36

y^{2} + 4 z^{2} = 4

x^2+4y^2-2x+16y+13=0

x^{2} + 4 y^{2} - 2 x + 16 y + 13 = 0

36 x^{2} + 9 y^{2} = 1