Conic Sections Question 522

Question: Vertex of the parabola $ 9x^{2}-6x+36y+9=0 $ is

Options:

A) $ (1/3,\ -2/9) $

B) $ (-1/3,\ -1/2) $

C) $ (-1/3,\ 1/2) $

D) $ (1/3,\ 1/2) $

Show Answer

Answer:

Correct Answer: A

Solution:

The equation can be written as $ {{(3x-1)}^{2}}=-4(9y+2) $ .

Hence the vertex is $ ( \frac{1}{3},-\frac{2}{9} ) $ .