The graph of is a horizontal stretch or shrink by a factor of of the graph of as long as two conditions are met. A horizontal stretch means the new function is going further away from the -axis and a horizontal shrink means it comes closer to the -axis. Whether the transformation is a stretch or 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. In other words, the graph of is a horizontal shrink of the graph of by a factor of