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Beliebt Geometry >

leitkurve y=4x^2+23x-6

Lösung

leitkurve

y = 4 x^{2} + 23 x - 6

Lösung

y = - \frac{313}{8}

Schritte zur Lösung

Rewrite

y = 4 x^{2} + 23 x - 6

in the standard form

4 \cdot \frac{1}{16} (y - (- \frac{625}{16})) = (x - (- \frac{23}{8}))^{2}

(h, k) = (- \frac{23}{8}, - \frac{625}{16}), 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{23}{8}, - \frac{625}{16})

y-coordinate

y = - \frac{625}{16} - p

y = - \frac{625}{16} - \frac{1}{16}

Fasse zusammen

y = - \frac{313}{8}

Graph

Beliebte Beispiele

leitkurve 4-X^2

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

leitkurve x^2+4x-4y=0

d i rec t r i x x^{2} + 4 x - 4 y = 0

leitkurve 1/2 (x^2-4x+2)

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

leitkurve y=x^2-x-6

d i rec t r i x y = x^{2} - x - 6

leitkurve+x^2+12

d i rec t r i x + x^{2} + 12