[问答题]
$\text { Let } f(x)=a(x+1)(x+5) \text {, for } x \in \mathbb{R} \text {, where } a \in \mathbb{Z} \text {. The following diagram shows part of the graph of } f \text {. }$
The graph of f has x -intercepts at (p, 0) and (q, 0) , and a y -intercept at (0,-10) .
1. 1. Write down the value of p and the value of q .
2. Find the value of a .
2. Find the equation of the axis of symmetry.
3 . Find the coordinates of the vertex.
The graph of a function g is obtained from the graph of f by a reflection in the y -axis, followed by a translation by the vector $\binom{0}{2}$ . The point $\mathrm{P}(-2,6)$ on the graph of f is mapped to point $\mathrm{Q}$ on the graph of g .
4. Find the coordinates of Q .
