Question

Which is the graph of the parent absolute value function?

Answer 1

Answer: Attached below.

Step-by-step explanation:

The equation for parent absolute function : $y=|x|$

Here, two x-values ( having same magnitude but different signs [+, -] ) corresponds to one y-value except for 0.

For example , $y=|2|=2$

tex]y=|-2|=2[/tex]   [Absolute function only gives positive results.]

$y=|5|=5$

$y=|-5|=5$

$y=|0|=0$

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.

Answer 2

The 'V' one, because it's just a linear x = y with no negative y values, so it goes back up into a 'V'.