Answer:
f(x) = (x +6)^3 +4
Explanation:
f(x -h) +k is the function f(x) translated by (h, k). You want to translate the function by (-6, 4), so it will be ...
f(x +6) +4 = (x+6)^3 +4
The translated function is ...
f(x) = (x +6)^3 +4
f(x) = x^3 +18x^2 +108x +220 . . . . . . with parentheses eliminated
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The graph shows the two versions of the translated function. One is dashed so you can see the other has the same graph.