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Beliebt Geometry >

leitkurve y=+3x^2+24x-51

Lösung

leitkurve

y = + 3 x^{2} + 24 x - 51

Lösung

y = - \frac{1189}{12}

Schritte zur Lösung

Rewrite

y = 3 x^{2} + 24 x - 51

in the standard form

4 \cdot \frac{1}{12} (y - (- 99)) = (x - (- 4))^{2}

(h, k) = (- 4, - 99), p = \frac{1}{12}

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

(- 4, - 99)

y-coordinate

y = - 99 - p

y = - 99 - \frac{1}{12}

Fasse zusammen

y = - \frac{1189}{12}

Graph

Beliebte Beispiele

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

d i rec t r i x y = \frac{1}{2} (x + 3)^{2} - 2

leitkurve x^2+5x-14

d i rec t r i x x^{2} + 5 x - 14

achse (x-2)=3(y-5)^2

a x i s (x - 2) = 3 (y - 5)^{2}

achse y=-x^2-4x-2

a x i s y = - x^{2} - 4 x - 2

achse y=x^2-3x^2

a x i s y = x^{2} - 3 x^{2}