# Vertical, horizontal shift and vertical compression, stretch

- Author:
- Vera Hu

In this worksheet, we are going to explore vertical and horizontal shift, compressions and stretches.
The core function now is sqrt(x). We call the core function f(x). The graph of f(x) is in blue. The function, g(x) = a f(x - h) + k, is the function that we apply our transformations on f(x). The Graph of g(x) is in red.
Do the following:
1. Move the slider, h, can you tell me the relation between graphs of f(x) and g(x), when you move the slider, h.
2. Move the slider, k, can you tell me the relation between graphs of f(x) and g(x), when you move the slider, k,
3. Move the slider, a, can you tell me the relation between graphs of f(x) and g(x), when you move the slider, a.
4. Make conclusion on your finding.
Now change the function yourself. To do this, you need to type the function in the in the box