The graph shows the translation, g(x), of the function f(x).
what integer represents the horizontal translation of f(x) to g(x)?

The integer 4 represents the horizontal translation of f(x) to g(x).

Step-by-step explanation:

The translation is defined as

               .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From the given figure it is clear that the graph of f(x) horizontally shifts 4 units to the left. So, the value of a is 4 and the value of b is 0.

The translation for given function as

Therefore, the integer 4 represents the horizontal translation of f(x) to g(x).

i dont know

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