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Beliebt Geometry >

leitkurve y=6x^2-15x

Lösung

leitkurve

y = 6 x^{2} - 15 x

Lösung

y = - \frac{113}{12}

Schritte zur Lösung

Rewrite

y = 6 x^{2} - 15 x

in the standard form

4 \cdot \frac{1}{24} (y - (- \frac{75}{8})) = (x - \frac{5}{4})^{2}

(h, k) = (\frac{5}{4}, - \frac{75}{8}), p = \frac{1}{24}

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{75}{8})

y-coordinate

y = - \frac{75}{8} - p

y = - \frac{75}{8} - \frac{1}{24}

Fasse zusammen

y = - \frac{113}{12}

Graph

Beliebte Beispiele

leitkurve y=x^2-x-20

d i rec t r i x y = x^{2} - x - 20

leitkurve x^2=2y

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

leitkurve x^2=28y

d i rec t r i x x^{2} = 28 y

leitkurve y=x^2+4x+4

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

leitkurve y=-x^2+5

d i rec t r i x y = - x^{2} + 5