199k views
2 votes
Identify the transformation from the graph of f(x) = x
3
to g(x) = (x − 4)
3

2 Answers

6 votes

Answer:

a shift of 4 units right

Explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then shift to the left by a units

• If a < 0 then a shift to the right by a units

Thus for g(x) = (x - 4)³

The graph of g(x) is the graph of f(x) shifted 4 units to the right

User Wheeler
by
9.3k points
3 votes

Answer:

The only difference between the two is the "-4" in the second function. This is a vertical translation. g(x) will give the same curve, but 4 units lower on the graph.

User Datazang
by
8.6k points

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