What is the directrix 25x^2-70x+36 ?

The directrix 25x^2-70x+36 is y=-1301/100

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directrix 25x^2-70x+36

directrix

25 x^{2} - 70 x + 36

y = - \frac{1301}{100}

Solution steps

Rewrite

y = 25 x^{2} - 70 x + 36

in the standard form

4 \cdot \frac{1}{100} (y - (- 13)) = (x - \frac{7}{5})^{2}

(h, k) = (\frac{7}{5}, - 13), p = \frac{1}{100}

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{7}{5}, - 13)

y-coordinate

y = - 13 - p

y = - 13 - \frac{1}{100}

Refine

y = - \frac{1301}{100}

y = x^{2} - 5 x - 6

y^{2} + 8 y + 4 x + 20 = 0

- x^{2} + 4

y = + 2 (x + 1)^{2} - 5

x - x^{2}