What is the directrix 0.5x^2-3x+5 ?

The directrix 0.5x^2-3x+5 is y=0

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directrix 0.5x^2-3x+5

directrix

y = 0

Solution steps

Rewrite

y = 0.5 x^{2} - 3 x + 5

in the standard form

4 \cdot 0.5 (y - 0.5) = (x - 3)^{2}

(h, k) = (3, 0.5), p = 0.5

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

(3, 0.5)

y-coordinate

y = 0.5 - p

y = 0.5 - 0.5

Refine

y = 0