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Beliebt Geometry >

leitkurve y=+(x+5)^2+3

Lösung

leitkurve

y = + (x + 5)^{2} + 3

Lösung

y = \frac{11}{4}

Schritte zur Lösung

Rewrite

y = (x + 5)^{2} + 3

in the standard form:

4 \cdot \frac{1}{4} (y - 3) = (x - (- 5))^{2}

(h, k) = (- 5, 3), 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, 3)

y-coordinate

y = 3 - p

y = 3 - \frac{1}{4}

Fasse zusammen

y = \frac{11}{4}

Graph

Beliebte Beispiele

leitkurve (y+6)^2= 15/11 (x+12)

d i rec t r i x (y + 6)^{2} = \frac{15}{11} (x + 12)

leitkurve y^2+10x=0

d i rec t r i x y^{2} + 10 x = 0

leitkurve (y-3)^2=2(x+2)

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

leitkurve y=5x^2+1

d i rec t r i x y = 5 x^{2} + 1

leitkurve y=x^2+9x+4

d i rec t r i x y = x^{2} + 9 x + 4