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Beliebt Geometry >

leitkurve x^{(2)}-6x+5y=-34

Lösung

leitkurve

x^{(2)} - 6 x + 5 y = - 34

Lösung

y = - \frac{15}{4}

Schritte zur Lösung

Rewrite

x^{2} - 6 x + 5 y = - 34

in the standard form

4 (- \frac{5}{4}) (y - (- 5)) = (x - 3)^{2}

(h, k) = (3, - 5), p = - \frac{5}{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

(3, - 5)

y-coordinate

y = - 5 - p

y = - 5 - (- \frac{5}{4})

Fasse zusammen

y = - \frac{15}{4}

Graph

Beliebte Beispiele

leitkurve x^2-3x-4

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

leitkurve (x-4)^2=8(y+2)

d i rec t r i x (x - 4)^{2} = 8 (y + 2)

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

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

leitkurve 2x^2-10

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

leitkurve y^2=4(-4)x

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