What is the directrix y^2=20(x-10) ?

The directrix y^2=20(x-10) is x=5

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directrix y^2=20(x-10)

directrix

y^{2} = 20 (x - 10)

x = 5

Solution steps

Rewrite

y^{2} = 20 (x - 10)

in the standard form:

4 \cdot 5 (x - 10) = (y - 0)^{2}

(h, k) = (10, 0), p = 5

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

(10, 0)

x-coordinate

x = 10 - p

x = 10 - 5

Refine

x = 5

y = 3 x^{2} - 18 x + 23

y^{2} - 5 x + 12 y = - 16

3 y^{2} = 10 x

4 x^{2} - 5 x + 6

3 x^{2} + x - 5