Question 12016
I'm not exactly sure, but I think probably the base function for the function f(x)= 2x^3 + 4 would be f(x) = x^3.  


Then you graph the base function, and from that you figure out what would happen to the graph if you multiplied it by 2 (answer, it essentially makes the graph "twice" as steep!), and then what is the effect of adding +4(answer, it moves the graph up 4 units on the graph!) to obtain f(x)= 2x^3 + 4.  So, it should be steeper, and up 4 units.  Check it out with the following graphs.

{{{ graph (300,300, -10, 10, -10, 10, x^3) }}} {{{ graph (300,300, -10, 10, -10, 10, 2x^3+4) }}}