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Beliebt Geometry >

leitkurve y=2x^2+5x-7

Lösung

leitkurve

y = 2 x^{2} + 5 x - 7

Lösung

y = - \frac{41}{4}

Schritte zur Lösung

Rewrite

y = 2 x^{2} + 5 x - 7

in the standard form

4 \cdot \frac{1}{8} (y - (- \frac{81}{8})) = (x - (- \frac{5}{4}))^{2}

(h, k) = (- \frac{5}{4}, - \frac{81}{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{5}{4}, - \frac{81}{8})

y-coordinate

y = - \frac{81}{8} - p

y = - \frac{81}{8} - \frac{1}{8}

Fasse zusammen

y = - \frac{41}{4}

Graph

Beliebte Beispiele

leitkurve y^2=-6x

leitkurve (x-1)^2=16(y-2)

leitkurve y=4x^2-4x^1

leitkurve y=3x^2-x+5