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Beliebt Geometry >

leitkurve 4x^2+12x+9

Lösung

leitkurve

4 x^{2} + 12 x + 9

Lösung

y = - \frac{1}{16}

Schritte zur Lösung

Rewrite

y = 4 x^{2} + 12 x + 9

in the standard form

4 \cdot \frac{1}{16} (y - 0) = (x - (- \frac{3}{2}))^{2}

(h, k) = (- \frac{3}{2}, 0), 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{3}{2}, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{16}

Fasse zusammen

y = - \frac{1}{16}

Graph

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