What is the directrix y=-x^2+6x ?

The directrix y=-x^2+6x is y= 37/4

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directrix y=-x^2+6x

directrix

y = \frac{37}{4}

Solution steps

Rewrite

y = - x^{2} + 6 x

in the standard form

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

(h, k) = (3, 9), 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

(3, 9)

y-coordinate

y = 9 - p

y = 9 - (- \frac{1}{4})

Refine

y = \frac{37}{4}