How do the variables c and d affect the asymptotes?

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… Continue reading How do the variables c and d affect the asymptotes?

  Hi Everyone For any given vertical (or horizontal) stretch or shrink, is  ther

  Hi Everyone For any given vertical (or horizontal) stretch or shrink, is  there a corresponding horizontal (or vertical) stretch or shrink which  gives rise to the identical graph transformations? Explain your  reasoning.  There will always be a corresponding horizontal or  vertical stretch or shrink because you will either add or subtract  horizontal or vertical which… Continue reading  
Hi Everyone
For any given vertical (or horizontal) stretch or shrink, is  ther

 A rational function is one that can be written as a polynomial divided  by a po

 A rational function is one that can be written as a polynomial divided  by a polynomial or the quotient of polynomials. Since polynomials are  defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. The rational function f(x)=  can be transformed using methods similar to… Continue reading  A rational function is one that can be written as a polynomial divided  by a po

  Hi Everyone For any given vertical (or horizontal) stretch or shrink, is  ther

  Hi Everyone For any given vertical (or horizontal) stretch or shrink, is  there a corresponding horizontal (or vertical) stretch or shrink which  gives rise to the identical graph transformations? Explain your  reasoning.  There will always be a corresponding horizontal or  vertical stretch or shrink because you will either add or subtract  horizontal or vertical which… Continue reading  
Hi Everyone
For any given vertical (or horizontal) stretch or shrink, is  ther

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

A rational function is one that can be written as a polynomial divided  by a polynomial or the quotient of polynomials. Since polynomials are  defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. The rational function f(x)=  can be transformed using methods similar to… Continue reading How do the variables c and d affect the asymptotes? Which transformation rules were applied?