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Beliebt Geometry >

foki y=-3x^2+5x

Lösung

foki

y = - 3 x^{2} + 5 x

Lösung

(\frac{5}{6}, 2)

Schritte zur Lösung

Rewrite

y = - 3 x^{2} + 5 x

in the standard form

4 (- \frac{1}{12}) (y - \frac{25}{12}) = (x - \frac{5}{6})^{2}

(h, k) = (\frac{5}{6}, \frac{25}{12}), p = - \frac{1}{12}

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

p

from the center

(\frac{5}{6}, \frac{25}{12})

along the y-axis

(\frac{5}{6}, \frac{25}{12} + p)

= (\frac{5}{6}, \frac{25}{12} + (- \frac{1}{12}))

Fasse zusammen

(\frac{5}{6}, 2)

Graph

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