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Beliebt Geometry >

leitkurve 2x^2+x-3

Lösung

leitkurve

2 x^{2} + x - 3

Lösung

y = - \frac{13}{4}

Schritte zur Lösung

Rewrite

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

in the standard form

4 \cdot \frac{1}{8} (y - (- \frac{25}{8})) = (x - (- \frac{1}{4}))^{2}

(h, k) = (- \frac{1}{4}, - \frac{25}{8}), p = \frac{1}{8}

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{1}{4}, - \frac{25}{8})

y-coordinate

y = - \frac{25}{8} - p

y = - \frac{25}{8} - \frac{1}{8}

Fasse zusammen

y = - \frac{13}{4}

Graph

Beliebte Beispiele

leitkurve x^2+9x+20

d i rec t r i x x^{2} + 9 x + 20

leitkurve y=-7x^2-3

d i rec t r i x y = - 7 x^{2} - 3

leitkurve x^2-10

d i rec t r i x x^{2} - 10

leitkurve y^2+36x=0

d i rec t r i x y^{2} + 36 x = 0

leitkurve y=(x+314)^2

d i rec t r i x y = (x + 314)^{2}