Question

15 Select the correct answer. Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)? A. It is the graph of f(x) translated 11 units to the left. B. It is the graph of f(x) translated 11 units up. C. It is the graph of f(x) translated 11 units to the right. D. It is the graph of f(x) where the slope is increased by 11.

Answer 1

A. It is the graph of f(x) translated 11 units to the left.

If g(x) = f(x - 11), then substituting x - 11 for x in f(x) = x gives:

g(x) = f(x - 11) = x - 11

This means that the graph of g(x) is the same as the graph of f(x), but shifted horizontally to the right by 11 units. In other words, every point on the graph of f(x) has been moved to the right by 11 units to give the graph of g(x).

Therefore, the correct answer is A. It is the graph of f(x) translated 11 units to the left