10. The curve \(C\) has equation
$$y = ( x + 1 ) ( x + 3 ) ^ { 2 }$$
- Sketch \(C\), showing the coordinates of the points at which \(C\) meets the axes.
- Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 x ^ { 2 } + 14 x + 15\).
The point \(A\), with \(x\)-coordinate - 5 , lies on \(C\).
- Find the equation of the tangent to \(C\) at \(A\), giving your answer in the form \(y = m x + c\), where \(m\) and \(c\) are constants.
Another point \(B\) also lies on \(C\). The tangents to \(C\) at \(A\) and \(B\) are parallel.
- Find the \(x\)-coordinate of \(B\).