Question

The reciprocal function y=1/x shifted down 2 units and left 3 units Find the vertical and horizontal asymptote(s)

Answer 1

In the function y=1/x, the vertical asymptote is x = 0. Given that the new function was translated 3 units to the left, the new vertical asymptote is:

`\begin{gathered} x=0-3 \\ x=-3 \end{gathered}`

In the function y=1/x, the horizontal asymptote is y = 0. Given that the new function was translated 2 units down, the new horizontal asymptote is:

`\begin{gathered} y=0-2 \\ y=-2 \end{gathered}`