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Beliebt Geometry >

leitkurve x^2+10x-24

Lösung

leitkurve

x^{2} + 10 x - 24

Lösung

y = - \frac{197}{4}

Schritte zur Lösung

Rewrite

y = x^{2} + 10 x - 24

in the standard form

4 \cdot \frac{1}{4} (y - (- 49)) = (x - (- 5))^{2}

(h, k) = (- 5, - 49), p = \frac{1}{4}

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

(- 5, - 49)

y-coordinate

y = - 49 - p

y = - 49 - \frac{1}{4}

Fasse zusammen

y = - \frac{197}{4}

Graph

Beliebte Beispiele

leitkurve x(4-x)

d i rec t r i x x (4 - x)

leitkurve 5x^2-3x+3

d i rec t r i x 5 x^{2} - 3 x + 3

leitkurve (x+4)^2=-12(y-2)

d i rec t r i x (x + 4)^{2} = - 12 (y - 2)

leitkurve (x-80)^2=-320(y-20)

d i rec t r i x (x - 80)^{2} = - 320 (y - 20)

leitkurve y=x^2+7x+5

d i rec t r i x y = x^{2} + 7 x + 5