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Beliebt Geometry >

leitkurve y=-x^2+10x

Lösung

leitkurve

y = - x^{2} + 10 x

Lösung

y = \frac{101}{4}

Schritte zur Lösung

Rewrite

y = - x^{2} + 10 x

in the standard form

4 (- \frac{1}{4}) (y - 25) = (x - 5)^{2}

(h, k) = (5, 25), 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

(5, 25)

y-coordinate

y = 25 - p

y = 25 - (- \frac{1}{4})

Fasse zusammen

y = \frac{101}{4}

Graph

Beliebte Beispiele

leitkurve y=x^2+3

d i rec t r i x y = x^{2} + 3

leitkurve y=x^2+x-1

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

leitkurve 4x^2-8x-3y-2=0

d i rec t r i x 4 x^{2} - 8 x - 3 y - 2 = 0

leitkurve 0=(y-1)^2-16(x+4)

d i rec t r i x 0 = (y - 1)^{2} - 16 (x + 4)

leitkurve-1/8 (x-8)^2+2

d i rec t r i x - \frac{1}{8} (x - 8)^{2} + 2