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Beliebt Geometry >

foki y=2x^2-6x+10

Lösung

foki

y = 2 x^{2} - 6 x + 10

Lösung

(\frac{3}{2}, \frac{45}{8})

Schritte zur Lösung

Rewrite

y = 2 x^{2} - 6 x + 10

in the standard form

4 \cdot \frac{1}{8} (y - \frac{11}{2}) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, \frac{11}{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{11}{2})

along the y-axis

(\frac{3}{2}, \frac{11}{2} + p)

= (\frac{3}{2}, \frac{11}{2} + \frac{1}{8})

Fasse zusammen

(\frac{3}{2}, \frac{45}{8})

Graph

Beliebte Beispiele

f oc i y = x^{2} - x - 6

foki x= 1/20 y^2

f oc i x = \frac{1}{20} y^{2}

foki y=-x^2-x-1

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

f oc i y^{2} - 8 x = 0

f oc i - 2 x^{2} + 3 x - 1