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Beliebt Geometry >

leitkurve+4x^2-4x+9

Lösung

leitkurve

+ 4 x^{2} - 4 x + 9

Lösung

y = \frac{127}{16}

Schritte zur Lösung

Rewrite

y = 4 x^{2} - 4 x + 9

in the standard form

4 \cdot \frac{1}{16} (y - 8) = (x - \frac{1}{2})^{2}

(h, k) = (\frac{1}{2}, 8), p = \frac{1}{16}

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}, 8)

y-coordinate

y = 8 - p

y = 8 - \frac{1}{16}

Fasse zusammen

y = \frac{127}{16}

Graph

Beliebte Beispiele

leitkurve x^2-2

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

leitkurve 4-(x-3)^2

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

leitkurve+x^2-6x-7

d i rec t r i x + x^{2} - 6 x - 7

leitkurve y= 1/14 x^2+2

d i rec t r i x y = \frac{1}{14} x^{2} + 2

leitkurve x^2-4x+4

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