3B Order of Transformations

Changing the order of transformations that are applied to a function can change the resulting function. [list=1] [*]Turn on "translate before stretch". How are [math]g(x)[/math] and [math]p(x)[/math] different? What order of transformations does each represent? [*]Does changing just [math]a[/math] and [math]b[/math] make [math]g(x)[/math] and [math]p(x)[/math] different? [*]Does changing just [math]h[/math] and [math]k[/math] make [math]g(x)[/math] and [math]p(x)[/math] different? [*]What is the minimum requirement for [math]g(x)[/math] and [math]p(x)[/math] to be different? [/list]