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Beliebt Geometry >

leitkurve y=4x^2-24x-30

Lösung

leitkurve

y = 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 8y=x^2

d i rec t r i x 8 y = x^{2}

leitkurve x^2=36y

d i rec t r i x x^{2} = 36 y

leitkurve (x+4)^2-1

d i rec t r i x (x + 4)^{2} - 1

leitkurve y^2+4x-8y+12=0

d i rec t r i x y^{2} + 4 x - 8 y + 12 = 0

leitkurve y=4x^2+8x-20

d i rec t r i x y = 4 x^{2} + 8 x - 20