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Beliebt Geometry >

4(x-4)^2+9(y+5)^2=36

Lösung

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

Lösung

(h, k) = (4, - 5), a = 3, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, - 5), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, - 5), a = 3, b = 2

Graph

Beliebte Beispiele

15x^2+15y^2+16y>= 0

15 x^{2} + 15 y^{2} + 16 y \geq 0

((y-3)^2)/(64)+((x+5)^2)/(81)=1

\frac{( y - 3 ) ^{2}}{64} + \frac{( x + 5 ) ^{2}}{81} = 1

4 - 4 x^{2} - y^{2} \geq 0

x^{2} + 5 y^{2} = 20

(1+b+ia)/(1+b-ia)=b+ia

\frac{1 + b + ia}{1 + b - ia} = b + ia