Discovery Other Families of Functions

Select a function then use the sliders to see how a, h and k change the parent function into a kid function. Pay attention to if a, h and/or k is positive, negative, greater than zero or less than zero etc... (Hint: You may want to change only one value at a time.)
When you feel you have an idea of what a, h and k do to our parent functions, answer the questions below.[br]1) Where in the function does the value of a appear to be located?[br]2) The value of a, does three different things to our functions. What are they and for what values of a, do they occur?[br]3) Where in the function does the value of h appear to be located?[br]4) The value of h can move our graph in two ways. Which ways does it move our graph, and for what values of h causes these movements?[br]5) Where in the function does the value of k appear to be located?[br]6) The value of k can move our graph in two ways. Which ways does it move our graph, and for what values of k causes these movements?

Information: Discovery Other Families of Functions