Hello,

Original

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.  

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.

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.  

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.  

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.