Question

Suppose the graph of f is given. Describe how the graph of the function can be obtained from the graph of f . (b) y=f (1/4 x)

Answer 1

To obtain the graph of y = f(1/4 x) from the graph of f, compress the graph horizontally by a factor of 4 using the corresponding x/4 values for each point on the original graph.

Step-by-step explanation:

To obtain the graph of the function y = f(1/4 x) from the graph of f, we need to compress the graph horizontally by a factor of 4. This means that for each x-coordinate on the original graph, we will use the corresponding x/4 value on the new graph.

For example, if the original graph has a point (2, 5), the corresponding point on the new graph would be (2/4, 5) or (0.5, 5). Repeat this process for all points on the original graph, and connect the new points to get the graph of y = f(1/4 x).