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Beliebt Geometry >

foki y=3x^2-15x+6

Lösung

foki

y = 3 x^{2} - 15 x + 6

Lösung

(\frac{5}{2}, - \frac{38}{3})

Schritte zur Lösung

Rewrite

y = 3 x^{2} - 15 x + 6

in the standard form

4 \cdot \frac{1}{12} (y - (- \frac{51}{4})) = (x - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, - \frac{51}{4}), p = \frac{1}{12}

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

p

from the center

(\frac{5}{2}, - \frac{51}{4})

along the y-axis

(\frac{5}{2}, - \frac{51}{4} + p)

= (\frac{5}{2}, - \frac{51}{4} + \frac{1}{12})

Fasse zusammen

(\frac{5}{2}, - \frac{38}{3})

Graph

Beliebte Beispiele

foki (y+1)^2=2(x-5)

foki y=5x^2-12x+7