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Beliebt Geometry >

foki y=9x^2+48x+64

Lösung

foki

y = 9 x^{2} + 48 x + 64

Lösung

(- \frac{8}{3}, \frac{1}{36})

Schritte zur Lösung

Rewrite

y = 9 x^{2} + 48 x + 64

in the standard form

4 \cdot \frac{1}{36} (y - 0) = (x - (- \frac{8}{3}))^{2}

(h, k) = (- \frac{8}{3}, 0), p = \frac{1}{36}

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

p

from the center

(- \frac{8}{3}, 0)

along the y-axis

(- \frac{8}{3}, 0 + p)

= (- \frac{8}{3}, 0 + \frac{1}{36})

Fasse zusammen

(- \frac{8}{3}, \frac{1}{36})

Graph

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