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Beliebt Geometry >

leitkurve y=-(x-2)^2+4

Lösung

leitkurve

y = - (x - 2)^{2} + 4

Lösung

y = \frac{17}{4}

Schritte zur Lösung

Rewrite

y = - (x - 2)^{2} + 4

in the standard form:

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

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

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(2, 4)

y-coordinate

y = 4 - p

y = 4 - (- \frac{1}{4})

Fasse zusammen

y = \frac{17}{4}

Graph

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