We plot these ordered pairs on a coordinate plane and connect them to get the graph of n(x). Note that n(x) is a transformation of the parent function y=|x|, which is V-shaped. Therefore, n(x) will also be a V-shaped graph.
Now that we have graphed our function, we can move on to comparing it to f(x).
Comparing the Functions
To compare the graph of n(x) to the graph of f(x)=|x-6|, let's first draw this function. Note that f(x) is a horizontal translation 6 units right of the graph of y=|x|.
Now we can compare n(x) to f(x) by drawing them on the same coordinate plane.
As we can see, the graph of n(x) is a vertical shrink of the graph f(x) by a factor of 12.
