Transformations of Parent Functions

[size=150][size=200]Click on one of the parent functions and move the [b][color=#ff0000]a[/color][/b],[color=#0000ff][b] h[/b][/color], and [b][color=#38761d]k[/color][/b] sliders to see how [color=#ff0000][b]a[/b][/color], [color=#0000ff][b]h[/b][/color], and [color=#38761d][b]k [/b][/color][b][i]transform[/i][/b] the [b][i]parent function[/i][/b].[/size][/size]
Select your assigned function to investigate
Answer the following questions:
[size=150][b]1.[/b] What is the domain of your parent function? ([i]Hint: Where does it begin and end from left to right?[/i])[br]Your notation should look like one of the following: ( , ) or [ . ) or ( , ] or [ , ] domain[/size][br][size=85]example: y=x[sup]2[/sup] domain is (-infinity,infinity)[/size][br][sup][/sup][size=150][sup][br][/sup][b]2.[/b] What is the range of your parent function? ([i]Hint: Where does it begin and end from the bottom to the top?[/i]) Your notation should look like one of the following: ( , ) or [ . ) or ( , ] or [ , ][/size][br][size=85]example: y=x[sup]2[/sup] domain is (0,infinity)[/size][br][br][size=150][b]3.[/b] If your function undergoes transformations, what is a [b][i]general formula[/i][/b] you can use to describe the transformations? In other words, what are the parameters you need to consider? [/size][br][br][size=150][b]4.[/b] Using the sliders above, find an equation for your parent function that shifts to the [b][i]right[/i][/b] 7 units and [b][i]down[/i][/b] 4 units. [br][br][b]5.[/b] Graph the equation.[br][br][b]6.[/b] What is the [b][i]domain[/i][/b] of the function after the transformation?[br][br][b]7. [/b]What is the [b][i]range[/i][/b] of the function after the transformation?[br][br][b]8.[/b] Does your equation have any [b][i]asymptotes[/i][/b]? If so, where? How do you know?[br][br][color=#ff7700][b]Turn in your worksheet/answers when you are done.[/b][/color][/size]

Information: Transformations of Parent Functions