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The transformation $a⋅f(x)$ is a vertical stretch or shrink by a factor of $a,$ where $a>0$ and $a =1.$ This means that the outputs of $g(x)$ are the outputs of $f(x)$ multiplied by $a.$ We can use the fact that
$g(x)=a⋅f(x)⇒g(0)=a⋅f(0)$
to calculate $a.$ Looking at the graph, we can see that $g(x)$ passes through the point $(0,-12),$ which means that $g(0)=-12.$ We can also see that $f(x)$ passes through the point $(0,-6),$ meaning that $f(0)=-6.$ We can substitute these into the equation $g(0)=a⋅f(0).$
The value of $a$ is $2.$