How are the graphs #f(x)=x^3# and #g(x)=(x+2)^3-5# related?

1 Answer
marfre
Feb 11, 2017

The function #f(x) = x^3 # is the parent function of #g(x)#.
The graph below is #g(x)#.
graph{(x+2)^3 -5 [-8, 8, -15, 15]}

Explanation:

The function #f(x)# would have the curve positioned at the origin. The function #g(x) # has been shifted horizontally to the left by #2# and shifted vertically down by #5#.

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