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Vertical asymptotes occur most often where the denominator of a rational function is equal to 0. Therefore, if you want to find a vertical asymptote for a rational function (which is a fraction where both the numerator and denominator are polynomials), then you need to set the denominator equal to 0 and solve for the variable. The values you find are the points at which the function has a vertical asymptote.
Occasionally you’ll encounter vertical asymptotes in other types of functions, like logarithms. In this case, you’ll want to look for places where the function is undefined in order to find its vertical asymptotes.