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Beliebt Geometry >

leitkurve-4x^2+6x-1

Lösung

leitkurve

- 4 x^{2} + 6 x - 1

Lösung

y = \frac{21}{16}

Schritte zur Lösung

Rewrite

y = - 4 x^{2} + 6 x - 1

in the standard form

4 (- \frac{1}{16}) (y - \frac{5}{4}) = (x - \frac{3}{4})^{2}

(h, k) = (\frac{3}{4}, \frac{5}{4}), p = - \frac{1}{16}

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{3}{4}, \frac{5}{4})

y-coordinate

y = \frac{5}{4} - p

y = \frac{5}{4} - (- \frac{1}{16})

Fasse zusammen

y = \frac{21}{16}

Graph

Beliebte Beispiele

leitkurve y=-2x^2+8x

d i rec t r i x y = - 2 x^{2} + 8 x

leitkurve y=-4x^2-4

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

leitkurve (x-4)^2=-8(y+3)

d i rec t r i x (x - 4)^{2} = - 8 (y + 3)

leitkurve y^2+33=-8x-23

d i rec t r i x y^{2} + 33 = - 8 x - 23

leitkurve-x^2+1

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