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} ) $ .