What is the directrix y=-0.23x^2+1.87x+1.5 ?

The directrix y=-0.23x^2+1.87x+1.5 is y=6.38793…

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directrix y=-0.23x^2+1.87x+1.5

directrix

y = - 0.23 x^{2} + 1.87 x + 1.5

y = 6.38793 \dots

Solution steps

Rewrite

y = - 0.23 x^{2} + 1.87 x + 1.5

in the standard form

4 (- 1.08695 \dots) (y - 5.30097 \dots) = (x - 4.06521 \dots)^{2}

(h, k) = (4.06521 \dots, 5.30097 \dots), p = - 1.08695 \dots

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

(4.06521 \dots, 5.30097 \dots)

y-coordinate

y = 5.30097 \dots - p

y = 5.30097 \dots - (- 1.08695 \dots)

Refine

y = 6.38793 \dots

3 y^{2} = 24 x

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

y = + (x - 7)^{2}

- 2 x^{2} + 25 x

4 t^{2} + 1

What is the directrix y=-0.23x^2+1.87x+1.5 ?
The directrix y=-0.23x^2+1.87x+1.5 is y=6.38793…