Question

In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4? A. left and down B. down C. right and up D. up Reset Next

Answer 1

The direction that the graph of f(x) = x must be shifted to produce the graph of g(x) = f(x) - 4 is B. down

Describing the transformation of f(x) to g(x).

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = f(x) - 4

Using the above as a guide, we have the following:

The vertical difference is

Difference = 0 - 4

Evaluate

Difference = -4

This means that the transformation of f(x) to g(x) is that f(x) is shifted down by 4 units to g(x).