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Beliebt Geometry >

foki y=5x^2-15x

Lösung

foki

y = 5 x^{2} - 15 x

Lösung

(\frac{3}{2}, - \frac{56}{5})

Schritte zur Lösung

Rewrite

y = 5 x^{2} - 15 x

in the standard form

4 \cdot \frac{1}{20} (y - (- \frac{45}{4})) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, - \frac{45}{4}), p = \frac{1}{20}

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

p

from the center

(\frac{3}{2}, - \frac{45}{4})

along the y-axis

(\frac{3}{2}, - \frac{45}{4} + p)

= (\frac{3}{2}, - \frac{45}{4} + \frac{1}{20})

Fasse zusammen

(\frac{3}{2}, - \frac{56}{5})

Graph

Beliebte Beispiele

foki y^2=(25)/(-2)x

f oc i y^{2} = \frac{25}{- 2} x

foki x^2-4x-12y-20=0

f oc i x^{2} - 4 x - 12 y - 20 = 0

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

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