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Beliebt Geometry >

leitkurve y=x^2-x-20

Lösung

leitkurve

y = x^{2} - x - 20

Lösung

y = - \frac{41}{2}

Schritte zur Lösung

Rewrite

y = x^{2} - x - 20

in the standard form

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

(h, k) = (\frac{1}{2}, - \frac{81}{4}), p = \frac{1}{4}

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{81}{4})

y-coordinate

y = - \frac{81}{4} - p

y = - \frac{81}{4} - \frac{1}{4}

Fasse zusammen

y = - \frac{41}{2}

Graph

Beliebte Beispiele

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

leitkurve y=-x^2+10x

d i rec t r i x y = - x^{2} + 10 x