# Algebra 2. Transformation of Fucntions.

1. Oct 11, 2005

### njkid

Whats the difference between "Vertical Compression" and "Horizontal Compression"? Can you give me couple example? Thank you.

2. Oct 11, 2005

### Atomos

A vertical compression is "squishing" all points towards the x-axis, it is also important to rember that the invariant points in such a transformation are ON the x-axis. A horizontal compression is "squishing" all points towards the y-axis. It is important to remember that all invariant points are on the y-axis. However, there are some cases where a transformation is equivalent to another transformation relative to a different axis.
Consider the function $$f(x) = 4x^2$$ This is a transformation of the graph of $$y = x^2$$ vertically stretched by a factor of 2. However, this is also equivalent to a horizontal compression by a factor of 1/2.

3. Oct 12, 2005

### njkid

Thank you very much.