sketch y=x^2-2|x|

Question

 sketch this graph

Answer 1

lxl = x, if x≥0

 

lxl = -x, if x < 0

 

So, y = x² - 2x, for x≥0

 

     y = x² + 2x, for x < 0

 

The graph looks sort of like a "W" with rounded corners.  The x-intercepts are (-2,0), (0,0), and (2,0).  The lowest points are (1,-1) and (-1,-1).  

 

Answer 2

Use a grapher to get a quick and accurate graph for your assignment.