Adjust function parameters to explore how shifts and stretches affect the graph of an absolute value function.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
How are the graphs of [math]f\left(x\right)=|x|[/math] and [math]f\left(x\right)=x[/math] similar? How are they different?
What do you notice about the slope of [math]\left|x\right|[/math]?
How do each of the values [math]a[/math], [math]h[/math], and [math]k[/math] in [math]f\left(x\right)[/math] affect the parent graph [math]\left|x\right|[/math]?
Do you agree with the following statement? Why or why not?[br][i]Every absolute value function will only output positive numbers.[/i]