4. A function \(f\) is given by \(f ( x ) = | 3 x + 4 |\).
- Sketch the graph of \(y = f ( x )\). Clearly label the coordinates of the point \(A\), where the graph meets the \(x\)-axis, and the coordinates of the point \(B\), where the graph cuts the \(y\)-axis.
- On a separate set of axes, sketch the graph of \(y = \frac { 1 } { 2 } f ( x ) - 6\), where the points \(A\) and \(B\) are transformed to the points \(A ^ { \prime }\) and \(B ^ { \prime }\).
Clearly label the coordinates of the points \(A ^ { \prime }\) and \(B ^ { \prime }\).