We plot these ordered pairs on a coordinate plane and connect them to get the graph of k(x). Note that k(x) is a transformation of the graph of the parent function y=|x|, which is V-shaped. Therefore, k(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 k(x) to the graph of f(x)=|x-6|, let's first draw f(x). Note that f(x) is a horizontal translation 6 units right of the graph of y=|x|.
Now that we have drawn f(x), we can compare it to k(x).
As we can see, the graph of k(x) is a vertical stretch of the graph f(x) by a factor of 3 and a reflection in the x-axis.
