For b(x)=(x+2)3, the parent function is y=x3, which looks a lot like x2, but steeper, and the part to the left of the y-axis goes down instead of up. (When we square negative numbers, they become positive, but cubing a negative number results in another negative number.) The 2 added inside the parentheses to the x moves the function left 2, because whatever is added or subtracted to the x in parentheses always does the opposite. Instead of a critical point at (0,0), this function has a center at (-2,0). There are no asymptotes; the domain and range are both (-∞,∞). I can't graph the function here, but you can do that at https://www.desmos.com/calculator.
I hope this helps!