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Popular >

directrix-x(x-3)

Solution

directrix

- x (x - 3)

Solution

y = \frac{5}{2}

Solution steps

Rewrite

y = - x (x - 3)

in the standard form

4 (- \frac{1}{4}) (y - \frac{9}{4}) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, \frac{9}{4}), p = - \frac{1}{4}

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{3}{2}, \frac{9}{4})

y-coordinate

y = \frac{9}{4} - p

y = \frac{9}{4} - (- \frac{1}{4})

Refine

y = \frac{5}{2}

Popular Examples

directrix+17/4 (x+2)^2 directrix

+ \frac{17}{4} (x + 2)^{2}

directrix y=(-x)^2 directrix

y = (- x)^{2}

directrix (x-3)^2=4(y+5)directrix

(x - 3)^{2} = 4 (y + 5)

directrix y=3x^2+6x-1 directrix

y = 3 x^{2} + 6 x - 1

directrix 9x^2+24x+72y+16=0 directrix

9 x^{2} + 24 x + 72 y + 16 = 0

Frequently Asked Questions (FAQ)

What is the directrix-x(x-3) ?
The directrix-x(x-3) is y= 5/2