Question

What is the vertical asymptote of `y=1/(x+3)` ?

Answer 1

The vertical asymptote of `y=1/(x+3)` will occur when the denominator is equal to 0. In this case, that will occur at -3, so the vertical asymptote occurs at `x=-3`. There is no y-coordinate to be included.

For a more thorough explanation behind vertical asymptotes, see here: http://socratic.org/questions/what-is-a-vertical-asymptote-in-calculus? In summary however, vertical asymptotes occur at `x`-values where the limit of the function, either overall or from the right or the left, approaches `+-oo`.