Question

Given the functions f(1) = 4(2)x and g(x) = f(x) + 3, which transformation would map f(x) to g(x)?

A. Vertically shift the graph of f (2) up 4 units.
B. Vertically shift the graph of f(x) up 3 units.
C. Vertically shift the graph of f(x) down 3 units,
D. Vertically shift the graph of f(0) up 7 units.

Answer 1

To map f(x) to g(x), vertically shift the graph of f(x) up 3 units.

Step-by-step explanation:

To map the function f(x) to g(x), we need to vertically shift the graph of f(x) up 3 units. This is because g(x) is obtained by adding 3 to f(x). By adding 3 to the y-values of f(x), we shift the entire graph vertically upward. Therefore, the correct transformation is option B - vertically shift the graph of f(x) up 3 units.