What is the directrix y=(2x-1)(5x-6) ?

The directrix y=(2x-1)(5x-6) is y=-5/4

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

directrix

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

y = - \frac{5}{4}

Solution steps

Rewrite

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

in the standard form

4 \cdot \frac{1}{40} (y - (- \frac{49}{40})) = (x - \frac{17}{20})^{2}

(h, k) = (\frac{17}{20}, - \frac{49}{40}), p = \frac{1}{40}

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

(\frac{17}{20}, - \frac{49}{40})

y-coordinate

y = - \frac{49}{40} - p

y = - \frac{49}{40} - \frac{1}{40}

Refine

y = - \frac{5}{4}

0.5 x^{2} - 3 x + 5

x + y^{2} = 0

y = x^{2} - 4 x 3

y^{2} + 16 x = 0

y^{2} + 28 x = 0