CCSS IP Math II 2.2.1 Example 2

A function has a minimum value of [math]–5[/math] and [math]x[/math]-intercepts of [math]–8[/math] and [math]4[/math]. What is the value of [math]x[/math] that minimizes the function? For what values of [math]x[/math] is the function increasing? Decreasing?

[list=1] [*]Determine the [math]x[/math]-value that minimizes the function. [*]Determine when the function is increasing and decreasing. [/list]