writing the equation of a rational function given its graph

writing the equation of a rational function given its graph

The figure below shows the graph of a rational function f with vertical asymptotes x= -1, x= -6, and a horizontal asymptote y=0. The graph does not have an x-intercept, and it passes through the point (-2,-1).

The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form

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