Which translation transformed the parent function, f (x), to g (x) ?

a translation right 2 units

a translation left 2 units

a translation up 2 units

a translation down 2 unit

A

A translation right 2 units

Step-by-step explanation:

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A. A translation right 2 units:

We know that given f (x), the function g (x) = f (x+m), is the same function f (x) but shifted m units to the left. In that sense, a translation right 2 units would be:

g (x) = f (x-2).

B. A translation left 2 units:

We know that given f (x), the function g (x) = f (x+m), is the same function f (x) but shifted m units to the left. In that sense, a translation left 2 units would be:

g (x) = f (x+2).

C. A translation up 2 units:

We know that given f (x), the function g (x) = f (x) + m, is the same function f (x) but shifted m units up. In that sense, a translation up 2 units would be:

g (x) = f (x) + 2

D. A translation down 2 units:

We know that given f (x), the function g (x) = f (x) + m, is the same function f (x) but shifted m units up. In that sense, a translation down 2 units would be:

g (x) = f (x) - 2