Question

The graph of g(x) is the result of translating the graph of f(x) =  three units to the left. What is the equation of g(x)?

Answer 1

To translate it 3 to the left, g(x) = f(x+3)

Answer 2

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

$g(x)=f(x+a).$

Here, a = 3 units, so the required equation for g(x) will be

$g(x)=f(x+3).$

Thus, the equation for g(x) is f(x+3).