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 $P(x) = 81 - (x-3)^4$
Red graph is $x^4$
Blue graph is the red graph shifted to the right three units
Green graph is the blue graph reflected about the x axis
Purple graph is the green graph shifted up 81 units
x-int 0, 6
y-int 0