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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The graph of $y=a⋅f(x)$ is a vertical stretch or shrink by a factor of $a$ of the graph of $y=f(x)$ as long as two conditions are met. $a>0anda =1 $ A vertical stretch means the new function is going further away from the $x$-axis and a vertical shrink means it is coming closer to the $x$-axis. Whether the transformation is a stretch or a shrink depends on the value of $a.$ $Vertical stretch:Vertical shrink: a>10<a<1 $ Let's look in the diagram and mark corresponding points in the graphs.

From the graph, we see that the function $g(x)=21 f(x)$ is coming closer to the $x$-axis. Hence, the graph of $g(x)$ is a vertical shrink of the graph of $f(x)$ by a factor of $21 .$