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Beliebt Geometry >

foki-2x^2+6x

Lösung

foki

- 2 x^{2} + 6 x

Lösung

(\frac{3}{2}, \frac{35}{8})

Schritte zur Lösung

Rewrite

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

in the standard form

4 (- \frac{1}{8}) (y - \frac{9}{2}) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, \frac{9}{2}), p = - \frac{1}{8}

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

p

from the center

(\frac{3}{2}, \frac{9}{2})

along the y-axis

(\frac{3}{2}, \frac{9}{2} + p)

= (\frac{3}{2}, \frac{9}{2} + (- \frac{1}{8}))

Fasse zusammen

(\frac{3}{2}, \frac{35}{8})

Graph

Beliebte Beispiele

foki x=3(y-2)^2-7

f oc i x = 3 (y - 2)^{2} - 7

f oc i 3 x^{2} + 2 x + 6

foki-x^2+4y-44=-8x

f oc i - x^{2} + 4 y - 44 = - 8 x

f oc i - x^{2} - 2 x + 3

foki y=(sqrt(x))^4+6(sqrt(x))^2-1

f oc i y = (x)^{4} + 6 (x)^{2} - 1