What is the directrix (y^2+12y+36)/(60) ?

The directrix (y^2+12y+36)/(60) is x=-15

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directrix (y^2+12y+36)/(60)

directrix

\frac{y ^{2} + 12 y + 36}{60}

x = - 15

Solution steps

Rewrite

x = \frac{y ^{2} + 12 y + 36}{60}

in the standard form

4 \cdot 15 (x - 0) = (y - (- 6))^{2}

(h, k) = (0, - 6), p = 15

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

(0, - 6)

x-coordinate

x = 0 - p

x = 0 - 15

Refine

x = - 15

(x - 5)^{2} - 1

- 2 x^{2} + 4 x - 2

- x^{2} + 150 x - 2000

(x 2 + 1)^{2}

y = (x + 2) (x - 3)

What is the directrix (y^2+12y+36)/(60) ?
The directrix (y^2+12y+36)/(60) is x=-15