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Beliebt Geometry >

foki 4x^2+48y+12x=159

Lösung

foki

4 x^{2} + 48 y + 12 x = 159

Lösung

(- \frac{3}{2}, \frac{1}{2})

Schritte zur Lösung

Rewrite

4 x^{2} + 48 y + 12 x = 159

in the standard form

4 (- 3) (y - \frac{7}{2}) = (x - (- \frac{3}{2}))^{2}

(h, k) = (- \frac{3}{2}, \frac{7}{2}), p = - 3

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(- \frac{3}{2}, \frac{7}{2})

along the y-axis

(- \frac{3}{2}, \frac{7}{2} + p)

= (- \frac{3}{2}, \frac{7}{2} + (- 3))

Fasse zusammen

(- \frac{3}{2}, \frac{1}{2})

Graph

Beliebte Beispiele

foki y=2x^2+5x-3

f oc i y = 2 x^{2} + 5 x - 3

foki (x+9)^2=-40(y-7)

f oc i (x + 9)^{2} = - 40 (y - 7)

f oc i 4 x - x^{2}

foki 1/2 (1-2y-y^2)

f oc i \frac{1}{2} (1 - 2 y - y^{2})

foki x=3(y-3)^2-1

f oc i x = 3 (y - 3)^{2} - 1