# Seminar 1 Transformations of Functions

- Topic:
- Functions

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

*a*appear to be located? Write the equation of the function using*a*. b) The value of*a*, does three different things to the functions. What are they and for what values of*a*, 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*h*. b) 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? 3) Using the square root function a) Where in the function does the value of*k*appear to be located? Write the equation of the function using*k*. b) 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? 4) Write the equation of a cubic function that was flipped, translated 3 units left and 2 units down.