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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The graph of a function on the form $y=f(x+h),$ where $h$ is a positive number, is translated $h$ units to the left of that of $f(x).$ Here we can write $g(x)$ as follows. $g(x)=f(x+2)$ Therefore, the graph of $g(x)$ is a horizontal translation $2$ units left of the graph of $f(x).$ Let's have a look in Ron-Jon's diagram. We will mark a few corresponding points in both graphs and measure the distance between them.

We can see that Ron-Jon's graph is translated horizontally $2$ units but in the wrong direction. He should have translated it to the left instead. This is the error. Let's see how the correct graph looks like.