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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are given the graphs of $f(x)$ and $g(x)$ on a coordinate plane. Let's mark some corresponding points in the graphs and measure the distance between them.

We see that the graph of $g(x)$ is a vertical translation $8$ units down. We obtain a vertical translation $8$ units down by adding $-8$ to the output. Therefore, we have that $k=-8.$ $g(x)=f(x)+(-8)⇔g(x)=f(x)−8$