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Beliebt Geometry >

leitkurve 3x^2+5x-4

Lösung

leitkurve

3 x^{2} + 5 x - 4

Lösung

y = - \frac{37}{6}

Schritte zur Lösung

Rewrite

y = 3 x^{2} + 5 x - 4

in the standard form

4 \cdot \frac{1}{12} (y - (- \frac{73}{12})) = (x - (- \frac{5}{6}))^{2}

(h, k) = (- \frac{5}{6}, - \frac{73}{12}), 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

(- \frac{5}{6}, - \frac{73}{12})

y-coordinate

y = - \frac{73}{12} - p

y = - \frac{73}{12} - \frac{1}{12}

Fasse zusammen

y = - \frac{37}{6}

Graph

Beliebte Beispiele

leitkurve y=-x^2-1

d i rec t r i x y = - x^{2} - 1

leitkurve+6x^2+6x-12

d i rec t r i x + 6 x^{2} + 6 x - 12

leitkurve y^2=20(x-10)

d i rec t r i x y^{2} = 20 (x - 10)

leitkurve y=3x^2-18x+23

d i rec t r i x y = 3 x^{2} - 18 x + 23

leitkurve y^2-5x+12y=-16

d i rec t r i x y^{2} - 5 x + 12 y = - 16