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Explore transformations on rational functions using the interactive

Explore transformations on rational functions using the interactive

Explore transformations on rational functions using the interactive

 

Hello,

Original

Graph 1.jpg

How do the variables c and d affect the asymptotes? Which transformation rules were applied?

In the graph below I changed the C=6 and kept D=-.2 / A=-3.6 / B=3.3

The asymptotes shifted down as a result to increasing C. Also, the transformation flipped.  

Graph 2.jpg

In the graph below I changed the D=6 and kept C=-1 / A=-3.6 / B=3.3

The asymptotes shifted to the right as a result to increasing D. Also, the transformation did flip.

Graph 3.jpg

How do the variables a and b affect the asymptotes? Which transformation rules were applied?

In the graph below I changed the A=6 and kept C=-.1 / D=-.2 / B=3.3

The asymptotes shifted down as a result to increasing a. Also, the transformation did not flip.  

Graph 4.jpg

In the graph below I changed the B=8 and kept C=-1 / D=-.2 / A=-3.6

The lines graphed here widened as a result to the increase in B.  

Graph 5.jpg

In your opinion, which transformation do you believe is less  complicated or easier to understand? Provide justification for your  response.

I believe the x=-D/C is the easiest for me to understand with  adjusting the Variables (D, C). For instance, when I changed D=6 the  equation for the X coordinate was because, 6/1=6.


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