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Beliebt Geometry >

(2x-2)^2+(3y-6)^2=36

Lösung

(2 x - 2)^{2} + (3 y - 6)^{2} = 36

Lösung

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

Schritte zur Lösung

(2 x - 2)^{2} + (3 y - 6)^{2} = 36

Rewrite

(2 x - 2)^{2} + (3 y - 6)^{2} = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

3/2 u^2+1/2 v^2=4

\frac{3}{2} u^{2} + \frac{1}{2} v^{2} = 4

4x^2+16x+5y^2-10y+1=0

4 x^{2} + 16 x + 5 y^{2} - 10 y + 1 = 0

x^{2} + 4 y^{2} = 20

8 x^{2} + z^{2} = 36

((x-1.23)^2)/(1.41^2)+(y^2)/(1.007^2)=1

\frac{( x - 1.23 ) ^{2}}{1.4 1 ^{2}} + \frac{y ^{2}}{1.00 7 ^{2}} = 1