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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (1, 0), a = 3, b = 6

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 0), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 0), b = 6, a = 3

Graph

Beliebte Beispiele

25(x^2+4x+4)+36(y^2+2y+1)=770

25 (x^{2} + 4 x + 4) + 36 (y^{2} + 2 y + 1) = 770

(x^2)/(81)+(y^2)/(144)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{144} = 1

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

(1+y^2)/(1-x^2)=2

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

(x^2)/(36)+((y+9)^2)/(81)=1

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1