JEE Math Practice Question

Let 'a' be a real number such that the function f(x) = ax2 + 6x $$-$$ 15, x $$\in$$ R is increasing in $$\left( { - \infty ,{3 \over 4}} \right)$$ and decreasing in $$\left( {{3 \over 4},\infty } \right)$$. Then the function g(x) = ax2 $$-$$ 6x + 15, x$$\in$$R has a :

1. A.local maximum at x = $$-$$ $${{3 \over 4}}$$
2. B.local minimum at x = $$-$$$${{3 \over 4}}$$
3. C.local maximum at x = $${{3 \over 4}}$$
4. D.local minimum at x = $${{3 \over 4}}$$