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Beliebt Geometry >

((x-1)^2}{16}+\frac{(y+2)^2)/9 =1

Lösung

\frac{( x - 1 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{9} = 1

Lösung

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

Schritte zur Lösung

\frac{( x - 1 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{9} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{9} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

(y-6)^2+8x^2=64

(y - 6)^{2} + 8 x^{2} = 64

x^2+16y^2-128y+240=0

x^{2} + 16 y^{2} - 128 y + 240 = 0

4 x^{2} + y^{2} = 6 y - 5

18x^2+12y^2+24x-12y=1

18 x^{2} + 12 y^{2} + 24 x - 12 y = 1

16x^2+25y^2+32x-150y-159=0

16 x^{2} + 25 y^{2} + 32 x - 150 y - 159 = 0