Question

The graph below belongs to which function family?

Answer 1

The answer is the last one (absolute value)

Answer 2

The graph shown in the diagram belongs to the family of absolute function value.

The parent function $f(x)=|x|$ has the graph (red graph in attached diagram).

Reflect this graph across the x-axis and translate 3 units up to get given graph (see blue graph in attached diagram). The function rule will be $g(x)=-|x|+3.$

Answer: correct choice is D.