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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

x = \frac{3}{2}

Schritte zur Lösung

Rewrite

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

in the standard form:

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

(h, k) = (1, - 3), p = - \frac{1}{2}

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(1, - 3)

x-coordinate

x = 1 - p

x = 1 - (- \frac{1}{2})

Fasse zusammen

x = \frac{3}{2}

Graph

Beliebte Beispiele

x^{2} + y^{2} = 121

foki (x^2)/9+(y^2)/(25)=1

f oc i \frac{x ^{2}}{9} + \frac{y ^{2}}{25} = 1

x^{2} = 2 y

(x^2)/(49)-(y^2)/(16)=1

\frac{x ^{2}}{49} - \frac{y ^{2}}{16} = 1

y^{2} = 12 x