Sketch the Graph of the Function $p ( x ) = - ( x + 5 ) ^ { 3 } + 8$

Essay

Sketch the graph of the function $p ( x ) = - ( x + 5 ) ^ { 3 } + 8$ by transforming the graph of an appropriate function of the form $y = x ^ { n }$ . Indicate all $x$ - and $y$ - intercepts and make sure your graph exhibits the proper end behavior.