Graphing Calculator Investigations ~ Intro to Transformations

Square Root Functions

Parent function:

Work with graphing calculator to do the following tasks:
1.	Graph parent function:   
2.	What happens when the function is negative?    ________________________________

Graph each of the following functions and describe what happens to the parent function.

1.	 		____________________________________________________________

2.	     		____________________________________________________________

3.	  		____________________________________________________________

4.			____________________________________________________________

5.	 	____________________________________________________________

6.	 	____________________________________________________________

7.			____________________________________________________________

8.	 		____________________________________________________________

Overall conclusions:
positive number inside square root symbol: ______________________________________________
negative number inside square root symbol: _____________________________________________
positive number after square root symbol: ______________________________________________
negative number after square root symbol: _____________________________________________
number before square root symbol: ___________________________________________________
negative before square root symbol: ___________________________________________________

Notes on Exponential Functions

Parent function:

Work with graphing calculator to do the following tasks:
3.	Graph parent function:  

Graph each of the following functions and describe what happens to the parent function.

9.			____________________________________________________________

10.			____________________________________________________________

11.			____________________________________________________________
12.			____________________________________________________________

13.			____________________________________________________________

14.			____________________________________________________________

New parent function.
15.	 	What is different from  ? _______________________________

Predict what you think will happen in this graph below. _________________________________________

16.			Was your prediction correct?  _______ What happened to your 
			graph? 
____________________________________________________________

Overall conclusions:
positive number at the end: _________________________________________________________
negative number at the end: _________________________________________________________
positive number after the x in the exponent: ____________________________________________
negative number after the x in the exponent: ____________________________________________