Question

J(x) = f(3x)

Show that j(x) = is a horizontal stretch of the graph of f. You can use the table to help you.
A. A vertical stretch
B. A horizontal compression
C. A horizontal stretch
D. No stretch or compression

Answer 1

To show that j(x) = f(3x) is a horizontal stretch of the graph of f(x), we need to compare the graphs of f(x) and j(x). A horizontal stretch occurs when the x-values are multiplied by a constant. In this case, the x-values in j(x) are multiplied by 3.

Step-by-step explanation:

To show that j(x) = f(3x) is a horizontal stretch of the graph of f(x), we need to compare the graphs of f(x) and j(x).

A horizontal stretch occurs when the x-values are multiplied by a constant.

In this case, the x-values in j(x) are multiplied by 3.

This means that the graph of j(x) will be narrower than the graph of f(x).

For example, if the point (1, f(1)) is on the graph of f(x), then the point (1/3, f(1)) will be on the graph of j(x).

Answer: C. A horizontal stretch