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Beliebt Geometry >

leitkurve y=x^2-5x-24

Lösung

leitkurve

y = x^{2} - 5 x - 24

Lösung

y = - \frac{61}{2}

Schritte zur Lösung

Rewrite

y = x^{2} - 5 x - 24

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{121}{4})) = (x - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, - \frac{121}{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{5}{2}, - \frac{121}{4})

y-coordinate

y = - \frac{121}{4} - p

y = - \frac{121}{4} - \frac{1}{4}

Fasse zusammen

y = - \frac{61}{2}

Graph

Beliebte Beispiele

leitkurve y^2-12y-4x+28=0

d i rec t r i x y^{2} - 12 y - 4 x + 28 = 0

leitkurve 9y^2-6y-9-x=0

d i rec t r i x 9 y^{2} - 6 y - 9 - x = 0

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

leitkurve x^2+3x-4

d i rec t r i x x^{2} + 3 x - 4

leitkurve y=x^2-4x+4

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