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Beliebt Geometry >

leitkurve y=4x^2+2x+4

Lösung

leitkurve

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

Lösung

y = \frac{59}{16}

Schritte zur Lösung

Rewrite

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

in the standard form

4 \cdot \frac{1}{16} (y - \frac{15}{4}) = (x - (- \frac{1}{4}))^{2}

(h, k) = (- \frac{1}{4}, \frac{15}{4}), 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}{4}, \frac{15}{4})

y-coordinate

y = \frac{15}{4} - p

y = \frac{15}{4} - \frac{1}{16}

Fasse zusammen

y = \frac{59}{16}

Graph

Beliebte Beispiele

leitkurve y=2x^2-3x

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

leitkurve 2x^2-2

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

leitkurve x^2+x+1

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

leitkurve 4+2x-x^2

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

leitkurve x^2-8x-240

d i rec t r i x x^{2} - 8 x - 240