What is the directrix x^2-12x+1 ?

The directrix x^2-12x+1 is y=-141/4

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directrix x^2-12x+1

directrix

x^{2} - 12 x + 1

y = - \frac{141}{4}

Solution steps

Rewrite

y = x^{2} - 12 x + 1

in the standard form

4 \cdot \frac{1}{4} (y - (- 35)) = (x - 6)^{2}

(h, k) = (6, - 35), 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

(6, - 35)

y-coordinate

y = - 35 - p

y = - 35 - \frac{1}{4}

Refine

y = - \frac{141}{4}

y = (2 x + 3)^{2}

3 x^{2} + 7 x + 1

0.3 + 5.5 t - 4.9 t^{2}

y + 8 x^{2} = 0

- 3 (x - 7)^{2}