What is the directrix x/(25)-y^2=1 ?

The directrix x/(25)-y^2=1 is x= 2499/100

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directrix x/(25)-y^2=1

directrix

\frac{x}{25} - y^{2} = 1

x = \frac{2499}{100}

Solution steps

Rewrite

\frac{x}{25} - y^{2} = 1

in the standard form:

4 \cdot \frac{1}{100} (x - 25) = (y - 0)^{2}

(h, k) = (25, 0), p = \frac{1}{100}

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(25, 0)

x-coordinate

x = 25 - p

x = 25 - \frac{1}{100}

Refine

x = \frac{2499}{100}

y = x^{2} - 10 x - 31

3 x^{2} - 24 x - 15

(x + 4)^{2} = 12 y - 24

x^{2} - 2 x - 9

y = x^{2} - 8