Answer:
Last graph (D)
Step-by-step explanation:
[tex]f(x)=x(x-2)(x+4)[/tex]
Find the zeros:
[tex]f(x)=0\iff x(x-2)(x+4)=0\iff x=0\ \vee\ x-2=0\ \vee\ x+4=0\\\\\boxed{x=0}\ \vee\ \boxed{x=-2}\ \vee\ \boxed{x=-4}[/tex]
A graph with that x-intercepts is the last graph.
The second and third graphs are graphs of the quadratic function.
We have the function third degree (graph A and D).
