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 $P(x) = -3(x+2)^5 + 96$
Red graph is $x^5$
Blue graph is the red graph shifted to the left 2 units
Green graph is the blue graph extended vertically by a factor of 3 and is reflected about the x-axis
Purple graph is the green graph shifted up 96 units
x-int = 0
y-int = 0