[填空题]
Let $f(x)=\sin \left(x+\frac{\pi}{6}\right)+q$ . The graph of f passes through the point $\left(\frac{\pi}{3}, 5\right)$ .
1. Find the value of q .
2. Find the maximum value of f .
Let $g(x)=\sin x$ . The graph of g is translated to the graph of f by the vector $\binom{a}{b}$ .
3. Write down the values of a and b . a = b =
