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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 each point and the $x$-axis.

Since corresponding points are at the same distance from the $x$-axis the graph of $g(x)$ is a reflection in the $x$-axis of the graph of $f(x).$ We can also see this using the function rules. $f(x)=21 x+4g(x)=-f(x)$ We see that the function $g(x)$ can be written on the form $y=-f(x).$ This changes the sign of the $y$-coordinate which is the same as reflecting in the $x$-axis.