de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

x^2+(3y-3)^2=4

Lösung

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

Lösung

(h, k) = (0, 1), a = 2, b = \frac{2}{3}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 1), a = 2, b = \frac{2}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 1), a = 2, b = \frac{2}{3}

Graph

Beliebte Beispiele

x^2+4y^2+10x+9y-7=0

x^{2} + 4 y^{2} + 10 x + 9 y - 7 = 0

16x^2+9y^2-32x+90y+145=0

16 x^{2} + 9 y^{2} - 32 x + 90 y + 145 = 0

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

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

((x-2)^2)/(64)+((y-4)^2)/(16)=1

\frac{( x - 2 ) ^{2}}{64} + \frac{( y - 4 ) ^{2}}{16} = 1

((x+3)^2)/4+((y-5)^2)/(25)=1

\frac{( x + 3 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{25} = 1