Describe the transformation of ƒ(x) = 4x which is given by g(x) = 4x − 4.
options: A) g(x) is translated down 4 units compared to ƒ(x).
B) g(x) is translated right 4 units compared to ƒ(x).
C) g(x) is translated left 4 units compared to ƒ(x).
D) g(x) is translated up 4 units compared to ƒ(x).
The transformation of ƒ(x) = 4x given by g(x) = 4x − 4 is a translation down 4 units compared to ƒ(x). Therefore, the correct option is:
A) g(x) is translated down 4 units compared to ƒ(x).
To describe the transformation from ƒ(x) = 4x to g(x) = 4x - 4, we need to compare the two equations.
The transformation involves the operation of subtraction, which can be interpreted as shifting the graph vertically. Specifically, subtracting 4 from ƒ(x) will result in g(x) being translated downward by 4 units compared to ƒ(x).
So, the correct option is:
A) g(x) is translated down 4 units compared to ƒ(x).