Answer
See graph below.
Work Step by Step
The question asks to graph the polynomial by transformation from $y = x^n$
See image below.
Given $P(x) = 2(x+1)^4 - 32$
Red graph is $x^4$
Blue graph is the red graph shifted to the left one unit
Green graph is the blue graph extended vertically by a factor of 2
Purple graph is the green graph shifted down 32 units
