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The transformation of the parent graph of y = √x to y = (1/2)√x is a vertical compression by a factor of 1/2.
A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
As per the shown graph, for any value of x, the output of the function y = (1/2)√x is half of the output of the function y = √x. This means that the y-values of the transformed graph are compressed vertically by a factor of 1/2 compared to the parent graph, while the x-values remain unchanged.
Visually, the graph of y = (1/2)√x will be flatter and closer to the x-axis than the graph of y = √x, with the same x-intercepts (0,0) and (1,1).
Thus, the y-values of the transformed graph are compressed vertically by a factor of 1/2 compared to the parent graph.
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