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y =

Step-by-step explanation:

In order to achieve the following transformation we need to do the following. To get the graph to be reflected accross the y-axis we need to change the sign of the x variable. Since the x-variable in this scenario is a positive we would change it to a negative. Next, we want to shift the graph 4 units up. To do this we simply need to add 4 to the entire equation. This would result in the following equation.

y =

Both of these graphs can be seen in the image below.

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.