Instructions 1- Select a function 2- Use the sliders to see how a, h and k change the parent function into a transformed function. Pay attention to if a, h and/or k is positive, negative, greater than zero or less than zero etc... Hint: Change only one value at a time to see its influence. 3- After you explored the transformation of these functions, and drew your own conclusions about the what a, h and k do to the parent functions, answer the questions below.
Hint: When you select a new function, place a = 1, h = 0, and k = 0 to see the effect of each parameter by separate. 1) Using the quadratic function a) Where in the function does the value of [i]a[/i] appear to be located? Write the equation of the function using [i]a[/i]. b) The value of [i]a[/i], does three different things to the functions. What are they and for what values of [i]a[/i], do they occur? 2) Using the absolute value function a) Where in the function does the value of h appear to be located?. Write the equation of the function using [i]h[/i]. b) The value of [i]h[/i] can move our graph in two ways. Which ways does it move our graph, and for what values of h causes these movements? 3) Using the square root function a) Where in the function does the value of [i]k[/i] appear to be located? Write the equation of the function using [i]k[/i]. b) The value of [i]k[/i] can move our graph in two ways. Which ways does it move our graph, and for what values of [i]k[/i] causes these movements? 4) Write the equation of a cubic function that was flipped, translated 3 units left and 2 units down.