Sketch the graph of
What is the parent graph of this function? How has the graph of this function been transformed from the parent graph?
y = x3; it's been moved to the left and up.
Rewrite the equation y = (x + 2)3 + 4 without parentheses. Remember the Order of Operations.
Remember (x + 2)3 = (x + 2)(x + 2)(x + 2).
y = x3 + 6x2 + 12x + 12
How would the graph in part (b) differ from the graph of the original equation?
Try graphing both of these. Are there any differences?