Question

The function f(x) = 2x is translated left 3 units and down 2 units. Which is the equation of the translated function?

g(x) = 22 -3 - 2
g(x) = 2x-2-3
g(x) = 2x - 2 + 3
g(x) = 2x +3_2

Answer 1

g(x) = 2x + 3 – 2

Explanation:

Answer 2

g(x) = 2(x+3) - 2

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