Answer:
g(x) = 2(x+3) - 2
Step-by-step explanation:
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right a units.
So, The function f(x) = 2x is translated left 3 units and down 2 units
Applying the rules (2) and (3)
∴f(x) ⇒ f(x+3) -2 = 2(x+3) - 2
∴ g(x) = 2(x+3) - 2
