de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 4, 1), a = 2, b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 4, 1), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 4, 1), b = 3, a = 2

Graph

Beliebte Beispiele

4x^2+2x+y^2-10y=6

4 x^{2} + 2 x + y^{2} - 10 y = 6

36x^2+4y^2-49=0

36 x^{2} + 4 y^{2} - 49 = 0

9x^2+4y^2+72x-8y-176=0

9 x^{2} + 4 y^{2} + 72 x - 8 y - 176 = 0

4x^2+y^2+16x+16y-64=0

4 x^{2} + y^{2} + 16 x + 16 y - 64 = 0

5x^2+9y^2-10x-36y=4

5 x^{2} + 9 y^{2} - 10 x - 36 y = 4