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Objective: To see how changing parameters in a function formula affects a function's graph

Directions: Carry out the directions for Parts I through IV below. Record your findings and observations on the handout you are given. All work must be completed by the end of the period and submitted to the teacher before you leave.

A function is a rule that matches a single y-value (output value) to every possible x-value (input value).
A graph is the set of all ordered pairs (x,y) for a given relation or function. 
A parameter is a number whose value may be selected in terms of which other variables can be defined.  

Part I 

2. Enter an equation into the box. You can use any equation that uses both x and y. The purpose is for you to get used to entering any possible equation. Try experimenting with different equations to see what different graphs you can make. 

3. Sketch the Graph on the page provided. Be sure to label your graph with the equation you used.

Part II
1. Visit the following link: https://www.desmos.com/calculator/vyf3tpxvvt

2. Click the "Play" icon on the left to see how changing the parameter a correlates to a change in the graph of the absolute value function.

3. Answer questions A and B on your worksheet.

4. Visit each of the following links:

Part III
1. Visit each of the following links:

Part IV
Complete part IV on your worksheet.

Pat V
Should you complete all of parts I - IV, answer part V on a seperate sheet of paper and attach it to your worksheet (Only one per pair is required).