Final answer:
The graph of the parent function y = root(3, x) is transformed to produce the graph of y = root(3, 1/2 * x) through a horizontal compression.
Step-by-step explanation:
The function y = root(3, 1/2 * x) is obtained by applying a horizontal compression on the parent function y = root(3, x). This means that the graph of the transformed function is narrower than the graph of the parent function.
To visualize this transformation, consider the points on the parent function where x = 1 and x = 2. For the parent function, the corresponding y-values are 1 and 1.26. However, for the transformed function, the corresponding y-values will be 0.793 and 1, respectively. This shows that the transformed function has a smaller range of y-values compared to the parent function.