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 The vertex of the parabola y² - 2x + 6y + 3 =0 with solution please. tnx
a .(-3,3)
b .(3,3)
c .(-3,2)
d .(-3,-3)
I'll appreciate your help. thanks guys

 

-geometry

Sagot :

The equation of parabola is y^2-2x+6y+3=0

Obviously, it is a parabola Vertex at (h,k)
The Standard form of a parabola vertex at (h,k) opening to the right is (y-k)^2=4a(x-h)

y^2-2x+6y+3=0
y^2+6y=2x-3 Completing the square
y^2+6y+9=2x-3+9
(y+3)^2=2(x+3) or
[y-(-3)]^2=2[x-(-3)]

So, (h,k) is (-3,-3).

THe answer is Letter D.