Final answer:
The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x−8 indicates a vertical shift downwards by 8 units.
Step-by-step explanation:
The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x−8 indicates a vertical shift downwards by 8 units.
To understand this transformation, we can compare the original function ƒ(x) = 3x to the new function ƒ(x) = 3x−8. When we subtract 8 from the original function, it means that for every value of x, the corresponding y-value is 8 units smaller in the new function. So, the graph of the new function will be shifted downwards.
For example, let's consider x = 1. In the original function, ƒ(1) = 3(1) = 3. But in the new function, ƒ(1) = 3(1) − 8 = -5. So, the point (1, 3) in the original function is transformed to the point (1, -5) in the new function.