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Beliebt Geometry >

leitkurve 2(x^2+6x)+5y+8=0

Lösung

leitkurve

2 (x^{2} + 6 x) + 5 y + 8 = 0

Lösung

y = \frac{21}{8}

Schritte zur Lösung

Rewrite

2 (x^{2} + 6 x) + 5 y + 8 = 0

in the standard form

4 (- \frac{5}{8}) (y - 2) = (x - (- 3))^{2}

(h, k) = (- 3, 2), p = - \frac{5}{8}

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

- p

from the center

(- 3, 2)

y-coordinate

y = 2 - p

y = 2 - (- \frac{5}{8})

Fasse zusammen

y = \frac{21}{8}

Graph

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