# Math

Find the vertex, focus, and directrix of the parabola.

x^2 - 2x + 8y + 9 = 0

x^2 - 2x +1 = -8y + 9+ 1
(x-1)^2 = -8(y-1.25)

vertex:(1,1.25)
focus:(1,-.75)
directrix: y=3.25

My teacher said that I have sign errors. I do not know where I went wrong.

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1. the +9 when transferred to the other side should be -9

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2. Why did you add 1 to each side?

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Find the vertex, focus, and directrix of the parabola. x^2 - 2x + 8y + 9 = 0 x^2 - 2x +1 = -8y + 9+ 1 (x-1)^2 = -8(y-1.25) vertex:(1,1.25) focus:(1,-.75) directrix: y=3.25