# Vertical and horizontal shift

- 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.

Use Ctrl+f to refresh the view