Describe how the graph of the function $g(x)=\frac{1}{2}|x|-7$ can be obtained from the basic graph. Then graph the function.
Start with the graph of $h(x)=|x|$. Then it vertically by a factor of Finally, shift it unit(s). (Type an integer or a simplified fraction.)

Step 1 ：Start with the graph of the function \(h(x)=|x|\).

Step 2 ：Then, vertically compress it by a factor of \(\frac{1}{2}\) to get the function \(h(x)=\frac{1}{2}|x|\).

Step 3 ：Finally, shift it down by 7 units to get the function \(g(x)=\frac{1}{2}|x|-7\).

Step 4 ：The graph of the function \(g(x)=\frac{1}{2}|x|-7\) can be obtained from the basic graph of \(h(x)=|x|\) by a vertical compression by a factor of \(\frac{1}{2}\) and a vertical shift down by 7 units.

Step 5 ：To graph the function, start by drawing the graph of \(h(x)=|x|\). This is a V-shaped graph with the vertex at the origin (0,0) and the arms of the V extending upwards to the right and left.

Step 6 ：Then, compress the graph vertically by a factor of \(\frac{1}{2}\). This means that every y-coordinate on the original graph is halved. The graph still has the same shape, but it is 'flatter'.

Step 7 ：Finally, shift the graph down by 7 units. This means that every y-coordinate on the compressed graph is decreased by 7. The graph still has the same shape, but it is now located 7 units lower on the y-axis.

Step 8 ：The final graph of the function \(g(x)=\frac{1}{2}|x|-7\) is a V-shaped graph with the vertex at the point (0,-7) and the arms of the V extending upwards to the right and left, but 'flatter' than the original graph of \(h(x)=|x|\).

Step 9 ：The final answer is \(\boxed{\frac{1}{2}|x|-7}\).