describe the transformation to f(x) that results in g(x).\ng(x)=f(x + 5)\nf(x) has been translated to the…

describe the transformation to f(x) that results in g(x).\ng(x)=f(x + 5)\nf(x) has been translated to the left 5.\nf(x) has been translated to the right 5.

describe the transformation to f(x) that results in g(x).\ng(x)=f(x + 5)\nf(x) has been translated to the left 5.\nf(x) has been translated to the right 5.

Answer

Explanation:

Step1: Recall function transformation rules

For a function (y = f(x)), the transformation (y = f(x + h)) (where (h>0)) shifts the graph of (y = f(x)) to the left by (h) units.

Step2: Apply the rule to (g(x)=f(x + 5))

Here (h = 5). According to the rule (y=f(x+h)) (left - shift by (h) units when (h>0)), for (g(x)=f(x + 5)), the graph of (f(x)) is shifted to the left by (5) units.

Answer:

(f(x)) has been translated to the left (5).