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Beliebt Geometry >

leitkurve 2x^2-2x-1

Lösung

leitkurve

2 x^{2} - 2 x - 1

Lösung

y = - \frac{13}{8}

Schritte zur Lösung

Rewrite

y = 2 x^{2} - 2 x - 1

in the standard form

4 \cdot \frac{1}{8} (y - (- \frac{3}{2})) = (x - \frac{1}{2})^{2}

(h, k) = (\frac{1}{2}, - \frac{3}{2}), 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}{2}, - \frac{3}{2})

y-coordinate

y = - \frac{3}{2} - p

y = - \frac{3}{2} - \frac{1}{8}

Fasse zusammen

y = - \frac{13}{8}

Graph

Beliebte Beispiele

leitkurve-x^2+3x+7

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

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

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

leitkurve x=-((y+3)^2)/(20)+1

d i rec t r i x x = - \frac{( y + 3 ) ^{2}}{20} + 1

leitkurve 2x^2-4

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

leitkurve y= 1/2 (x+1)^2+4

d i rec t r i x y = \frac{1}{2} (x + 1)^{2} + 4