The equation of directrix of a parabola is y = 1.
What is the Equation of Directrix?
The equation of the directrix of the parabola x²=4ay is given by y = -a.
Here, [tex]y = \frac{1}{4} x^{2} - 2x + 1[/tex]
[tex]4y = x^{2} - 8x + 4[/tex]
[tex]4y = (x-4)^{2} - 12[/tex]
[tex]4y + 12 = (x-4)^{2}[/tex]
[tex](x-4)^{2} = 4(y + 3)[/tex]
Equation of Directrix ⇒ Y = 4
(y+3) = 4
y = 4-3
y = 1
Thus, The equation of directrix of a parabola is y = 1.
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