The graph of is a vertical stretch or shrink by a factor of of the graph of as long as two conditions are met. A vertical stretch means the new function is going further away from the -axis and a vertical shrink means it is coming closer to the -axis. Whether the transformation is a stretch or a shrink depends on the value of Let's look in the diagram and mark corresponding points in the graphs.
From the graph, we see that the function is coming closer to the -axis. Hence, the graph of is a vertical shrink of the graph of by a factor of