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Beliebt Geometry >

leitkurve y=-3x^2-42x-22

Lösung

leitkurve

y = - 3 x^{2} - 42 x - 22

Lösung

y = \frac{1501}{12}

Schritte zur Lösung

Rewrite

y = - 3 x^{2} - 42 x - 22

in the standard form

4 (- \frac{1}{12}) (y - 125) = (x - (- 7))^{2}

(h, k) = (- 7, 125), 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

(- 7, 125)

y-coordinate

y = 125 - p

y = 125 - (- \frac{1}{12})

Fasse zusammen

y = \frac{1501}{12}

Graph

Beliebte Beispiele

leitkurve+(x-2)=3(y-5)^2

d i rec t r i x + (x - 2) = 3 (y - 5)^{2}

leitkurve x^2-2x-24

d i rec t r i x x^{2} - 2 x - 24

leitkurve 18x^2-64x-14y+150=0

d i rec t r i x 18 x^{2} - 64 x - 14 y + 150 = 0

leitkurve 2x^2+5x

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

leitkurve y=-1/14 x^2+2

d i rec t r i x y = - \frac{1}{14} x^{2} + 2