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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

((x-5)^2)/(47)+((y+3)^2)/(30)=1

\frac{( x - 5 ) ^{2}}{47} + \frac{( y + 3 ) ^{2}}{30} = 1

4x^2-16x+25y^2-84=0

4 x^{2} - 16 x + 25 y^{2} - 84 = 0

16(x-4)^2+25(y+2)^2=400

16 (x - 4)^{2} + 25 (y + 2)^{2} = 400

8 x^{2} + 16 y^{2} = 1

4 x^{2} + 9 y^{2} \leq 36