In this worksheet, we are going to explore vertical and horizontal shift, compressions and stretches.[br]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.[br]Do the following:[br]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.[br]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, [br]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.[br]4. Make conclusion on your finding.[br]Now change the function yourself. To do this, you need to type the function in the in the box