## College Algebra 7th Edition

RECALL: The function $y=-f(x)$ involves a reflection about the $x$-axis of the parent function $f(x)$. The parent function of the given function is $y=|x|$. The graph of the given function involves a reflection about the x-axis of the parent function $y=|x|$. Thus, to graph the given function: (1) Graph the parent function $y=|x|$ . (Refer to the red graph in the attached image below) (2) Reflect the parent function's graph about the x-axis. This can be done by changing each y-coordinate of the points of the parent function to its opposite sign while keeping the value of the x-coordinate of each point. (Refer to the blue graph in the attached image above.)