Ask Question
21 November, 14:15

How is the graph of g (x) = f (kx) related to the graph of f when k = 5?

A. The graph of g is a horizontal stretch of the graph of f.

B. The graph of g is a vertical stretch of the graph of f.

C. The graph of g is a horizontal compression of the graph of f.

D. The graph of g is a vertical compression of the graph of f.

+2
Answers (1)
  1. 21 November, 14:38
    0
    The graph of g is a horizontal compression of the graph of f.

    Step-by-step explanation:

    When we multiply a constant positive number to the domain of the function, the variations on the "x" axis have a greater impact on the "y" axis. In this case for the original function every variation on the "x" axis would imply on a variation of the "y" axis, but on the new function where we have "f (kx) " with "k = 5", every variation on the "x" axis implies on 5 times the original value of the variation on the "y" axis, so for a smaller interval in the "x" axis we have more information about the "y" axis than before. Therefore, the graph gets compressed horizontally.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “How is the graph of g (x) = f (kx) related to the graph of f when k = 5? A. The graph of g is a horizontal stretch of the graph of f. B. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers