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Beliebt Geometry >

leitkurve 5x^2+4x-9

Lösung

leitkurve

5 x^{2} + 4 x - 9

Lösung

y = - \frac{197}{20}

Schritte zur Lösung

Rewrite

y = 5 x^{2} + 4 x - 9

in the standard form

4 \cdot \frac{1}{20} (y - (- \frac{49}{5})) = (x - (- \frac{2}{5}))^{2}

(h, k) = (- \frac{2}{5}, - \frac{49}{5}), p = \frac{1}{20}

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{2}{5}, - \frac{49}{5})

y-coordinate

y = - \frac{49}{5} - p

y = - \frac{49}{5} - \frac{1}{20}

Fasse zusammen

y = - \frac{197}{20}

Graph

Beliebte Beispiele

leitkurve (x+3)^2=4(y+4)

d i rec t r i x (x + 3)^{2} = 4 (y + 4)

leitkurve y=-6(x-8)^2-4

d i rec t r i x y = - 6 (x - 8)^{2} - 4

leitkurve 3x^2+6x-45

d i rec t r i x 3 x^{2} + 6 x - 45

leitkurve-x^2-4x-3

d i rec t r i x - x^{2} - 4 x - 3

leitkurve y^2=-7x

d i rec t r i x y^{2} = - 7 x