Which is the graph of the parent absolute value function?




The 'V' one, because it's just a linear x = y with no negative y values, so it goes back up into a 'V'.
Answer: Attached below.
Step-by-step explanation:
The equation for parent absolute function : [tex]y=|x|[/tex]
Here, two x-values ( having same magnitude but different signs [+, -] ) corresponds to one y-value except for 0.
For example , [tex]y=|2|=2[/tex]
tex]y=|-2|=2[/tex] [Absolute function only gives positive results.]
[tex]y=|5|=5[/tex]
[tex]y=|-5|=5[/tex]
[tex]y=|0|=0[/tex]
The function is symmetric about y-axis.
Thus the graph of parent absolute function is a V-shape graph, where its vertex (minimum point of graph) lies at origin (0,0).
Thus , the correct graph is the third one.