Answer:
The equation will be f(x + 7) = 4(x+7)
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, for the given function: f(x) = 4x
When is shifted 7 units to the left, we should apply rule (3) where a = 7
f(x + 7) = 4(x+7) = 4x +28
Also, see the attached figure.
