Thursday 9 February 2012

Square Root Function

* Not finished

Square Root Function

Basic Properties:
 : Means the positive square root of X, which is only possible if X > 0

 : Means the negative square root of X, which is only possible if X > 0

: Means the positive square root of -X, which is only possible if X< 0

: Means the negative square root of -X, which is only possible if X < 0


On the graph : 




Transformed function:

Role of h and k is to shift the function according to their values. (h,k) is the point where the function begins.

Examples:

                                                                                                                           




                                



Simplifying out parameter b:

Factor out parameter b and factor out of parameter h.  
Sometimes, b can only simplified to -1.

Examples:
      G(x) =                 H(x) = 

    G(x) =                 H(x) = 





2 comments:

  1. Taylor, are you going to finish this? It's pretty awesome, but YOU said it was not finished! And how did you get those gorgeous square roots? I think I know where the graphs came from - geogebra jpgs?

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  2. Yeah, planning on finishing it up over the March break! Just been busy, and those square roots and graphs take awhile to do haha. Yes the graphs are screen captures I took while using Geogebra, for the square roots I used code cogs, like you had said! :)

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