What is the directrix y=25x^2-36 ?

The directrix y=25x^2-36 is y=-3601/100

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directrix y=25x^2-36

directrix

y = 25 x^{2} - 36

y = - \frac{3601}{100}

Solution steps

Rewrite

y = 25 x^{2} - 36

in the standard form:

4 \cdot \frac{1}{100} (y - (- 36)) = (x - 0)^{2}

(h, k) = (0, - 36), 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

(0, - 36)

y-coordinate

y = - 36 - p

y = - 36 - \frac{1}{100}

Refine

y = - \frac{3601}{100}

- \frac{1}{2} x^{2} + 7 x - 3

y = - 3 x^{2} + 12 x - 4

y = x^{2} - 2 x + 8

4 y^{2} - 48 x - 20 y = 71

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