Suppose the graph of f is given describe how the graph of each function can be obtained from the graph of f?

Y=f(3x)
Y=f(1/3x)

1 answer

To obtain the graph of the function y = f(3x), you would compress the graph of f horizontally by a factor of 3. This means that each point on the graph of f would now be located at 1/3 of its original horizontal distance. This would make the graph narrower and more compact.

To obtain the graph of the function y = f(1/3x), you would stretch the graph of f horizontally by a factor of 3. This means that each point on the graph of f would now be located at 3 times its original horizontal distance. This would make the graph wider and more spread out.