What is the directrix 2x^2-36x+324 ?

The directrix 2x^2-36x+324 is y= 1295/8

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directrix 2x^2-36x+324

directrix

2 x^{2} - 36 x + 324

y = \frac{1295}{8}

Solution steps

Rewrite

y = 2 x^{2} - 36 x + 324

in the standard form

4 \cdot \frac{1}{8} (y - 162) = (x - 9)^{2}

(h, k) = (9, 162), p = \frac{1}{8}

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

(9, 162)

y-coordinate

y = 162 - p

y = 162 - \frac{1}{8}

Refine

y = \frac{1295}{8}

y = (2 x - 1) (5 x - 6)

0.5 x^{2} - 3 x + 5

x + y^{2} = 0

y = x^{2} - 4 x 3

y^{2} + 16 x = 0