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Beliebt Geometry >

leitkurve 4x^2-24x-30

Lösung

leitkurve

4 x^{2} - 24 x - 30

Lösung

y = - \frac{1057}{16}

Schritte zur Lösung

Rewrite

y = 4 x^{2} - 24 x - 30

in the standard form

4 \cdot \frac{1}{16} (y - (- 66)) = (x - 3)^{2}

(h, k) = (3, - 66), p = \frac{1}{16}

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, - 66)

y-coordinate

y = - 66 - p

y = - 66 - \frac{1}{16}

Fasse zusammen

y = - \frac{1057}{16}

Graph

Beliebte Beispiele

leitkurve-y^2=6y+x

d i rec t r i x - y^{2} = 6 y + x

leitkurve x=-1/20 (y+6)^2-7

d i rec t r i x x = - \frac{1}{20} (y + 6)^{2} - 7

leitkurve (y^2+12y+36)/(60)

d i rec t r i x \frac{y ^{2} + 12 y + 36}{60}

leitkurve (x-5)^2-1

d i rec t r i x (x - 5)^{2} - 1

leitkurve-2x^2+4x-2

d i rec t r i x - 2 x^{2} + 4 x - 2