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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are given the graphs of $f(x)$ and $g(x)$ on a coordinate plane, and want to describe the transformation from the graph of $f(x)$ to the graph of $g(x).$ Let's find some corresponding points in the graphs and measure the distance between them.

We see that the graph of $g(x)$ is a vertical translation $2$ units down of the graph of $f(x).$ We can also see this using the function rules. The function $g(x)$ can be written on the form $y=f(x)+k.$ $g(x)=f(x)−2⇔g(x)=f(x)+(-2)$ In our function, we have that $k=-2.$ This means the graph of $g(x)$ is a horizontal translation of $2$ units down of the graph of $f(x).$