SOLUTION: sketch the graph of the polynomial function. f(x)=(x+1)^3+4

Question 113828: sketch the graph of the polynomial function.
f(x)=(x+1)^3+4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

In order to graph , first graph its parent equation
Graph of

Now add 4 to the whole equation to shift the graph up 4 units to get the new graph of which looks like
Graph of (red) and (green)

Now replace x with x+1 to get which shifts the graph to the left 1 unit
So our new graph looks like

Graph of (red), (green), and Graph of

So our final graph alone looks like

Graph of
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