Effect of the graph f(1/2x)

Answer 1

The graph of f(1/2x) can be obtained by shrinking the graph of f(x) horizontally by a factor of 2.

Specifically, if a point (x, y) lies on the graph of f(x), then the point (2x, y) will lie on the graph of f(1/2x).

This means that for every point on the graph of f(x), there is a corresponding point on the graph of f(1/2x) that is half the distance away from the y-axis.

In other words, the graph of f(1/2x) will appear more compressed horizontally compared to the graph of f(x).

For example, if the graph of f(x) is a parabola opening upwards, the graph of f(1/2x) will also be a parabola opening upwards, but it will be narrower. Similarly, if the graph of f(x) is a line, the graph of f(1/2x) will be the same line but compressed horizontally.

Overall, the effect of the graph f(1/2x) is to horizontally shrink the graph of f(x) by a factor of 2.

Answer 2

in the eqaution form please

Answer 3

The effect of the equation f(1/2x) on the graph of f(x) can be described as follows:

For every x-value on the graph of f(x), we substitute it with 1/2x to obtain the x-values on the graph of f(1/2x).

In equation form, if (x, y) is a point on the graph of f(x), then the corresponding point on the graph of f(1/2x) is (1/2x, y).

This transformation horizontally compresses the graph of f(x) by a factor of 2.