SOLUTION: Explain how the graph of g is obtained from the graph of f. a. f(x) = x^3, g(x)=(x-4)^3 The graph of g(x) = (x-4)^3 is obtained by shifting the graph of f(x) to the right 4 units

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Question 45023This question is from textbook College Algebra
: Explain how the graph of g is obtained from the graph of f.
a. f(x) = x^3, g(x)=(x-4)^3
The graph of g(x) = (x-4)^3 is obtained by shifting the graph of f(x) to the right 4 units.
b. f(x) = x^3, g(x) = x^3-4
The graph of g(x) = x^3-4 is found by shifting the graph of f(x) down 4 units.
Thanks so much again!This question is from textbook College Algebra

Answer by stanbon(48516) (Show Source):
You can put this solution on YOUR website!
a. f(x) = x^3, g(x)=(x-4)^3
The graph of g(x) = (x-4)^3 is obtained by shifting the graph of f(x) to the right 4 units.
b. f(x) = x^3, g(x) = x^3-4
The graph of g(x) = x^3-4 is found by shifting the graph of f(x) down 4 units.
Correct.
Cheers,
Stan H.