Answer: The equation for g(x) is f(x+3).
Step-by-step explanation: Given that the graph of g(x) is the result of translating the graph of f(x) after translating three units to the left.
We are to find the equation of g(x).
We know that
if a function f(x) is translated a units to the left, then the new function g(x) is written as
[tex]g(x)=f(x+a).[/tex]
Here, a = 3 units, so the required equation for g(x) will be
[tex]g(x)=f(x+3).[/tex]
Thus, the equation for g(x) is f(x+3).
